56395077984 has 384 divisors, whose sum is σ = 194870108160. Its totient is φ = 15543290880.

The previous prime is 56395077901. The next prime is 56395077997. The reversal of 56395077984 is 48977059365.

56395077984 is a `hidden beast` number, since 5 + 6 + 39 + 507 + 7 + 98 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180175812 + ... + 180176124.

It is an arithmetic number, because the mean of its divisors is an integer number (507474240).

Almost surely, 2^56395077984 is an apocalyptic number.

56395077984 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 56395077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97435054080).

56395077984 is an abundant number, since it is smaller than the sum of its proper divisors (138475030176).

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

56395077984 is an equidigital number, since it uses as much as digits as its factorization.

56395077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 56395077984 in words is "fifty-six billion, three hundred ninety-five million, seventy-seven thousand, nine hundred eighty-four".