56087216640 has 1280 divisors, whose sum is σ = 252873815040. Its totient is φ = 11466178560.

The previous prime is 56087216623. The next prime is 56087216657. The reversal of 56087216640 is 4661278065.

56087216640 is a `hidden beast` number, since 560 + 8 + 7 + 21 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56087216623) and next prime (56087216657).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232726920 + ... + 232727160.

It is an arithmetic number, because the mean of its divisors is an integer number (197557668).

Almost surely, 2^56087216640 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 56087216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436907520).

56087216640 is an abundant number, since it is smaller than the sum of its proper divisors (196786598400).

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

56087216640 is a wasteful number, since it uses less digits than its factorization.

56087216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

56087216640 divided by its product of nonzero digits (483840) gives a triangular number (115921 = T₄₈₁).

The spelling of 56087216640 in words is "fifty-six billion, eighty-seven million, two hundred sixteen thousand, six hundred forty".