Set with Sum Equal to Product

Algebra Level 5

$\{ x_1, x_2, \ldots x_{60} \}$ is a set of $60$ positive integers that satisfy the equation

$x_1 + x_2 + \ldots + x_{60} = x_1 \times x_2 \times \ldots \times x_{60}.$

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