25600064904 has 160 divisors (see below), whose sum is σ = 73408705920. Its totient is φ = 8331375744.

The previous prime is 25600064891. The next prime is 25600064947. The reversal of 25600064904 is 40946000652.

25600064904 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 0 + 0 + 649 + 0 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 17145982 + ... + 17147474.

It is an arithmetic number, because the mean of its divisors is an integer number (458804412).

Almost surely, 2^25600064904 is an apocalyptic number.

25600064904 is a gapful number since it is divisible by the number (24) 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 25600064904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704352960).

25600064904 is an abundant number, since it is smaller than the sum of its proper divisors (47808641016).

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

25600064904 is a wasteful number, since it uses less digits than its factorization.

25600064904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25600064904 in words is "twenty-five billion, six hundred million, sixty-four thousand, nine hundred four".