56687359680 has 448 divisors, whose sum is σ = 230672640000. Its totient is φ = 12836745216.

The previous prime is 56687359667. The next prime is 56687359681. The reversal of 56687359680 is 8695378665.

56687359680 is a `hidden beast` number, since 566 + 8 + 7 + 3 + 5 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (56687359681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6588021 + ... + 6596619.

Almost surely, 2^56687359680 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 56687359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115336320000).

56687359680 is an abundant number, since it is smaller than the sum of its proper divisors (173985280320).

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

56687359680 is a wasteful number, since it uses less digits than its factorization.

56687359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 56687359680 in words is "fifty-six billion, six hundred eighty-seven million, three hundred fifty-nine thousand, six hundred eighty".