56161462855680 has 3840 divisors, whose sum is σ = 256761862156800. Its totient is φ = 11427957964800.

The previous prime is 56161462855651. The next prime is 56161462855699. The reversal of 56161462855680 is 8655826416165.

56161462855680 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 1 + 4 + 62 + 8 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 404039301051 + ... + 404039301189.

It is an arithmetic number, because the mean of its divisors is an integer number (66865068270).

Almost surely, 2^{56161462855680} 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 56161462855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128380931078400).

56161462855680 is an abundant number, since it is smaller than the sum of its proper divisors (200600399301120).

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

56161462855680 is a wasteful number, since it uses less digits than its factorization.

56161462855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 56161462855680 in words is "fifty-six trillion, one hundred sixty-one billion, four hundred sixty-two million, eight hundred fifty-five thousand, six hundred eighty".