<p>In this study, the fission properties of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^{180}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>180</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Hg were investigated based on Skyrme density functional theory. The impact of the high-order hexadecapole moment (<i>q</i><InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(_{40}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>40</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>) was observed at large deformations. With the <i>q</i><InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(_{40}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>40</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> constraint, smooth and continuous potential energy surfaces could be obtained. In particular, the hexadecapole moment constraint is essential for obtaining appropriate scission configurations. The static fission path based on the PES supports the asymmetric fission of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{180}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>180</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Hg. The asymmetric distribution of the fission yields of <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(^{180}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>180</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Hg was reproduced by the time-dependent generator coordinate method and agreed well with the experimental data.</p>