25275106656 has 144 divisors (see below), whose sum is σ = 73730049120. Its totient is φ = 8208291840.

The previous prime is 25275106639. The next prime is 25275106679. The reversal of 25275106656 is 65660157252.

25275106656 is a `hidden beast` number, since 2 + 5 + 27 + 510 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16211605 + ... + 16213163.

It is an arithmetic number, because the mean of its divisors is an integer number (512014230).

Almost surely, 2^25275106656 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 25275106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36865024560).

25275106656 is an abundant number, since it is smaller than the sum of its proper divisors (48454942464).

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

25275106656 is a wasteful number, since it uses less digits than its factorization.

25275106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 25275106656 in words is "twenty-five billion, two hundred seventy-five million, one hundred six thousand, six hundred fifty-six".