25925572800 has 672 divisors, whose sum is σ = 99174604800. Its totient is φ = 6662476800.

The previous prime is 25925572741. The next prime is 25925572843. The reversal of 25925572800 is 827552952.

25925572800 is a `hidden beast` number, since 2 + 5 + 92 + 557 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 108475081 + ... + 108475319.

Almost surely, 2^25925572800 is an apocalyptic number.

25925572800 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 25925572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49587302400).

25925572800 is an abundant number, since it is smaller than the sum of its proper divisors (73249032000).

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

25925572800 is an equidigital number, since it uses as much as digits as its factorization.

25925572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 25925572800 in words is "twenty-five billion, nine hundred twenty-five million, five hundred seventy-two thousand, eight hundred".