25620268800 has 864 divisors, whose sum is σ = 103815577600. Its totient is φ = 5434490880.

The previous prime is 25620268777. The next prime is 25620268811. The reversal of 25620268800 is 886202652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201734337 + ... + 201734463.

Almost surely, 2^25620268800 is an apocalyptic number.

25620268800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25620268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51907788800).

25620268800 is an abundant number, since it is smaller than the sum of its proper divisors (78195308800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25620268800 is a wasteful number, since it uses less digits than its factorization.

25620268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 25620268800 in words is "twenty-five billion, six hundred twenty million, two hundred sixty-eight thousand, eight hundred".