56430835514625 has 768 divisors, whose sum is σ = 119706889236480. Its totient is φ = 23265792000000.

The previous prime is 56430835514621. The next prime is 56430835514633. The reversal of 56430835514625 is 52641553803465.

It is a happy number.

It is not a de Polignac number, because 56430835514625 - 2² = 56430835514621 is a prime.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56430835514621) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 224824045750 + ... + 224824046000.

It is an arithmetic number, because the mean of its divisors is an integer number (155868345360).

Almost surely, 2^{56430835514625} is an apocalyptic number.

56430835514625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56430835514625 is an abundant number, since it is smaller than the sum of its proper divisors (63276053721855).

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

56430835514625 is a wasteful number, since it uses less digits than its factorization.

56430835514625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 57.

The spelling of 56430835514625 in words is "fifty-six trillion, four hundred thirty billion, eight hundred thirty-five million, five hundred fourteen thousand, six hundred twenty-five".