A hexacontagon, if you want to be pretentious. However, 60-gon is a much better option if you wish to communicate with your reader.
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A 60 sided shape is called a hexaconta. The hex prefix means 6 and the conta suffix is used for polygons with 20 to 100 sides.
It is called a megagon. A ∞ sided shape is called an apeirogon.
An eight sided figure is called an octagon.
The 22 sided shape is called a: ICOSIKAIDIGON
A 14 sided polygon is called a tetradecagon.