# Rationals from 25!

Find the number of rational numbers $$0 \leq \dfrac{p}{q} \leq 1$$ are there such that $$\gcd(p,q) = 1$$ and $$pq = 25!$$.

Notation: $$!$$ denotes the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

Inspired by Aman Rajput.

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