25757432160 has 48 divisors (see below), whose sum is σ = 81135912816. Its totient is φ = 6868648448.

The previous prime is 25757432159. The next prime is 25757432177. The reversal of 25757432160 is 6123475752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×25757432160² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26830179 + ... + 26831138.

It is an arithmetic number, because the mean of its divisors is an integer number (1690331517).

Almost surely, 2^25757432160 is an apocalyptic number.

25757432160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25757432160 is an abundant number, since it is smaller than the sum of its proper divisors (55378480656).

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

25757432160 is a wasteful number, since it uses less digits than its factorization.

25757432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53661335 (or 53661327 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 25757432160 in words is "twenty-five billion, seven hundred fifty-seven million, four hundred thirty-two thousand, one hundred sixty".