25264008000 has 1792 divisors, whose sum is σ = 121724928000. Its totient is φ = 5080320000.

The previous prime is 25264007987. The next prime is 25264008017. The reversal of 25264008000 is 80046252.

25264008000 is a `hidden beast` number, since 252 + 6 + 400 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 814967985 + ... + 814968015.

Almost surely, 2^25264008000 is an apocalyptic number.

25264008000 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 25264008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60862464000).

25264008000 is an abundant number, since it is smaller than the sum of its proper divisors (96460920000).

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

25264008000 is a wasteful number, since it uses less digits than its factorization.

25264008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 25264008000 in words is "twenty-five billion, two hundred sixty-four million, eight thousand".