25557462960 has 80 divisors (see below), whose sum is σ = 79798225920. Its totient is φ = 6766283520.

The previous prime is 25557462937. The next prime is 25557462967. The reversal of 25557462960 is 6926475552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25557462967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349696 + ... + 416415.

It is an arithmetic number, because the mean of its divisors is an integer number (997477824).

Almost surely, 2^25557462960 is an apocalyptic number.

25557462960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25557462960 is an abundant number, since it is smaller than the sum of its proper divisors (54240762960).

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

25557462960 is a wasteful number, since it uses less digits than its factorization.

25557462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766266 (or 766260 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 25557462960 in words is "twenty-five billion, five hundred fifty-seven million, four hundred sixty-two thousand, nine hundred sixty".