56935366262784 has 640 divisors, whose sum is σ = 173933930016000. Its totient is φ = 18395714027520.

The previous prime is 56935366262701. The next prime is 56935366262851. The reversal of 56935366262784 is 48726266353965.

56935366262784 is a `hidden beast` number, since 5 + 6 + 9 + 3 + 536 + 6 + 2 + 6 + 2 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152641732422 + ... + 152641732794.

It is an arithmetic number, because the mean of its divisors is an integer number (271771765650).

Almost surely, 2^{56935366262784} is an apocalyptic number.

56935366262784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56935366262784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86966965008000).

56935366262784 is an abundant number, since it is smaller than the sum of its proper divisors (116998563753216).

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

56935366262784 is an frugal number, since it uses more digits than its factorization.

56935366262784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 682 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 72.

The spelling of 56935366262784 in words is "fifty-six trillion, nine hundred thirty-five billion, three hundred sixty-six million, two hundred sixty-two thousand, seven hundred eighty-four".