25791401290960 has 40 divisors (see below), whose sum is σ = 62572182266880. Its totient is φ = 9868014406272.

The previous prime is 25791401290883. The next prime is 25791401290973. The reversal of 25791401290960 is 6909210419752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (55) 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7008531120 + ... + 7008534799.

It is an arithmetic number, because the mean of its divisors is an integer number (1564304556672).

Almost surely, 2^{25791401290960} is an apocalyptic number.

25791401290960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25791401290960 is an abundant number, since it is smaller than the sum of its proper divisors (36780780975920).

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

25791401290960 is a wasteful number, since it uses less digits than its factorization.

25791401290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14017065955 (or 14017065949 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 25791401290960 in words is "twenty-five trillion, seven hundred ninety-one billion, four hundred one million, two hundred ninety thousand, nine hundred sixty".