125821638402800 has 30 divisors (see below), whose sum is σ = 302286486263688. Its totient is φ = 50328655360960.

The previous prime is 125821638402793. The next prime is 125821638402827. The reversal of 125821638402800 is 8204836128521.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157277047604 + ... + 157277048403.

Almost surely, 2^{125821638402800} is an apocalyptic number.

125821638402800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125821638402800 is an abundant number, since it is smaller than the sum of its proper divisors (176464847860888).

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

125821638402800 is a wasteful number, since it uses less digits than its factorization.

125821638402800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314554096025 (or 314554096014 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 125821638402800 in words is "one hundred twenty-five trillion, eight hundred twenty-one billion, six hundred thirty-eight million, four hundred two thousand, eight hundred".