25659506916 has 120 divisors (see below), whose sum is σ = 70721112000. Its totient is φ = 8090197056.

The previous prime is 25659506879. The next prime is 25659506941. The reversal of 25659506916 is 61960595652.

25659506916 is a `hidden beast` number, since 2 + 565 + 9 + 5 + 0 + 69 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4361665 + ... + 4367543.

It is an arithmetic number, because the mean of its divisors is an integer number (589342600).

Almost surely, 2^25659506916 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 25659506916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35360556000).

25659506916 is an abundant number, since it is smaller than the sum of its proper divisors (45061605084).

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

25659506916 is a wasteful number, since it uses less digits than its factorization.

25659506916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 25659506916 in words is "twenty-five billion, six hundred fifty-nine million, five hundred six thousand, nine hundred sixteen".