56000708311680 has 2048 divisors, whose sum is σ = 225692141875200. Its totient is φ = 13168189440000.

The previous prime is 56000708311673. The next prime is 56000708311687. The reversal of 56000708311680 is 8611380700065.

56000708311680 is a `hidden beast` number, since 5 + 600 + 0 + 7 + 0 + 8 + 31 + 1 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56000708311673) and next prime (56000708311687).

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

It is not an unprimeable number, because it can be changed into a prime (56000708311687) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166174208472 + ... + 166174208808.

It is an arithmetic number, because the mean of its divisors is an integer number (110201241150).

Almost surely, 2^{56000708311680} 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 56000708311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112846070937600).

56000708311680 is an abundant number, since it is smaller than the sum of its proper divisors (169691433563520).

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

56000708311680 is a wasteful number, since it uses less digits than its factorization.

56000708311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56000708311680 in words is "fifty-six trillion, seven hundred eight million, three hundred eleven thousand, six hundred eighty".