25313734656 has 416 divisors, whose sum is σ = 90271372800. Its totient is φ = 6847856640.

The previous prime is 25313734651. The next prime is 25313734717. The reversal of 25313734656 is 65643731352.

It is a happy number.

25313734656 is a `hidden beast` number, since 2 + 53 + 137 + 3 + 465 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25313734651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14707876 + ... + 14709596.

Almost surely, 2^25313734656 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 25313734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45135686400).

25313734656 is an abundant number, since it is smaller than the sum of its proper divisors (64957638144).

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

25313734656 is a wasteful number, since it uses less digits than its factorization.

25313734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1752 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 25313734656 in words is "twenty-five billion, three hundred thirteen million, seven hundred thirty-four thousand, six hundred fifty-six".