125331627680400 has 120 divisors (see below), whose sum is σ = 401483533399360. Its totient is φ = 33421388382720.

The previous prime is 125331627680393. The next prime is 125331627680407. The reversal of 125331627680400 is 4086726133521.

It is an interprime number because it is at equal distance from previous prime (125331627680393) and next prime (125331627680407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125331627680400.

It is not an unprimeable number, because it can be changed into a prime (125331627680407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114606594 + ... + 115695006.

Almost surely, 2^{125331627680400} is an apocalyptic number.

125331627680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125331627680400 is an abundant number, since it is smaller than the sum of its proper divisors (276151905718960).

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

125331627680400 is a wasteful number, since it uses less digits than its factorization.

125331627680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184393 (or 1184382 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 125331627680400 in words is "one hundred twenty-five trillion, three hundred thirty-one billion, six hundred twenty-seven million, six hundred eighty thousand, four hundred".