There is no such number. In any case, you would not be able to distinguish it from a circle since there are far fewer atoms in the universe than the number of vertices that such a figure would have. I would settle for calling it a googolplexian-gon.
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A shape with four sides is called a quadrilateral.
A shape with 12 sides is called a dodecagon.
The answer to the question 'What is a shape with six sides called' would be a hexagon.
A shape's sides are called faces.
There are a bunch of them between googolplexian and infinity. Here are the first few: googolplexian + 1 googolplexian + 2 googolplexian + 3 googolplexian + 4 googolplexian + 5 googolplexian + 6 . . googolplexian + 3 million . . etc. There are an infinite number of those.