25250905008 has 300 divisors, whose sum is σ = 85560430032. Its totient is φ = 7168331520.

The previous prime is 25250904997. The next prime is 25250905021. The reversal of 25250905008 is 80050905252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10603978 + ... + 10606358.

Almost surely, 2^25250905008 is an apocalyptic number.

25250905008 is a gapful number since it is divisible by the number (28) 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 25250905008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780215016).

25250905008 is an abundant number, since it is smaller than the sum of its proper divisors (60309525024).

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

25250905008 is a wasteful number, since it uses less digits than its factorization.

25250905008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 25250905008 in words is "twenty-five billion, two hundred fifty million, nine hundred five thousand, eight".