25507806912 has 672 divisors, whose sum is σ = 90532915200. Its totient is φ = 6855045120.

The previous prime is 25507806899. The next prime is 25507806937. The reversal of 25507806912 is 21960870552.

25507806912 is a `hidden beast` number, since 2 + 5 + 507 + 80 + 69 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 380713503 + ... + 380713569.

It is an arithmetic number, because the mean of its divisors is an integer number (134721600).

Almost surely, 2^25507806912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25507806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45266457600).

25507806912 is an abundant number, since it is smaller than the sum of its proper divisors (65025108288).

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

25507806912 is a wasteful number, since it uses less digits than its factorization.

25507806912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25507806912 in words is "twenty-five billion, five hundred seven million, eight hundred six thousand, nine hundred twelve".