125027629056 has 672 divisors, whose sum is σ = 427961439360. Its totient is φ = 36130406400.

The previous prime is 125027629039. The next prime is 125027629099. The reversal of 125027629056 is 650926720521.

125027629056 is a `hidden beast` number, since 1 + 2 + 502 + 7 + 6 + 2 + 90 + 56 = 666.

It is a super-2 number, since 2×125027629056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 377726811 + ... + 377727141.

It is an arithmetic number, because the mean of its divisors is an integer number (636847380).

Almost surely, 2^125027629056 is an apocalyptic number.

125027629056 is a gapful number since it is divisible by the number (16) 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 125027629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213980719680).

125027629056 is an abundant number, since it is smaller than the sum of its proper divisors (302933810304).

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

125027629056 is an equidigital number, since it uses as much as digits as its factorization.

125027629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 125027629056 in words is "one hundred twenty-five billion, twenty-seven million, six hundred twenty-nine thousand, fifty-six".