25957072120 has 128 divisors (see below), whose sum is σ = 69966167040. Its totient is φ = 8480424960.

The previous prime is 25957072087. The next prime is 25957072151. The reversal of 25957072120 is 2127075952.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467349 + ... + 519931.

It is an arithmetic number, because the mean of its divisors is an integer number (546610680).

Almost surely, 2^25957072120 is an apocalyptic number.

25957072120 is a gapful number since it is divisible by the number (20) 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 25957072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34983083520).

25957072120 is an abundant number, since it is smaller than the sum of its proper divisors (44009094920).

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

25957072120 is a wasteful number, since it uses less digits than its factorization.

25957072120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52685 (or 52681 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 25957072120 in words is "twenty-five billion, nine hundred fifty-seven million, seventy-two thousand, one hundred twenty".