56989900104624 has 320 divisors, whose sum is σ = 165124131379200. Its totient is φ = 18818504875008.

The previous prime is 56989900104611. The next prime is 56989900104667. The reversal of 56989900104624 is 42640100998965.

56989900104624 is a `hidden beast` number, since 5 + 6 + 9 + 89 + 90 + 0 + 1 + 0 + 462 + 4 = 666.

It is a super-2 number, since 2×56989900104624² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41689757989 + ... + 41689759355.

It is an arithmetic number, because the mean of its divisors is an integer number (516012910560).

Almost surely, 2^{56989900104624} is an apocalyptic number.

56989900104624 is a gapful number since it is divisible by the number (54) 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 56989900104624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82562065689600).

56989900104624 is an abundant number, since it is smaller than the sum of its proper divisors (108134231274576).

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

56989900104624 is a wasteful number, since it uses less digits than its factorization.

56989900104624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 56989900104624 in words is "fifty-six trillion, nine hundred eighty-nine billion, nine hundred million, one hundred four thousand, six hundred twenty-four".