25402342912128 has 384 divisors, whose sum is σ = 93921216480000. Its totient is φ = 6699518429184.

The previous prime is 25402342912087. The next prime is 25402342912147. The reversal of 25402342912128 is 82121924320452.

25402342912128 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 2 + 3 + 429 + 1 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3567928 + ... + 7970871.

It is an arithmetic number, because the mean of its divisors is an integer number (244586501250).

Almost surely, 2^{25402342912128} is an apocalyptic number.

25402342912128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

25402342912128 is an abundant number, since it is smaller than the sum of its proper divisors (68518873567872).

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

25402342912128 is a wasteful number, since it uses less digits than its factorization.

25402342912128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538849 (or 11538824 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25402342912128 in words is "twenty-five trillion, four hundred two billion, three hundred forty-two million, nine hundred twelve thousand, one hundred twenty-eight".