56670812939520 has 2160 divisors, whose sum is σ = 229368116344752. Its totient is φ = 13340898754560.

The previous prime is 56670812939501. The next prime is 56670812939603. The reversal of 56670812939520 is 2593921807665.

56670812939520 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 0 + 8 + 12 + 93 + 9 + 520 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 46860486902784 + 9810326036736 = 6845472^2 + 3132144^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39546972724 + ... + 39546974156.

Almost surely, 2^{56670812939520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56670812939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114684058172376).

56670812939520 is an abundant number, since it is smaller than the sum of its proper divisors (172697303405232).

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

56670812939520 is a wasteful number, since it uses less digits than its factorization.

56670812939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 56670812939520 in words is "fifty-six trillion, six hundred seventy billion, eight hundred twelve million, nine hundred thirty-nine thousand, five hundred twenty".