Set with Sum Equal to Product

Algebra Level 5

{x1,x2,x60} \{ x_1, x_2, \ldots x_{60} \} is a set of 6060 positive integers that satisfy the equation

x1+x2++x60=x1×x2××x60. x_1 + x_2 + \ldots + x_{60} = x_1 \times x_2 \times \ldots \times x_{60}.

Over all solution sets, what is the maximum value of x1 x_1 ?

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