56357836416 has 768 divisors, whose sum is σ = 207227704320. Its totient is φ = 14332723200.

The previous prime is 56357836411. The next prime is 56357836531. The reversal of 56357836416 is 61463875365.

56357836416 is a `hidden beast` number, since 5 + 6 + 3 + 578 + 3 + 64 + 1 + 6 = 666.

Its product of digits (10886400) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (56357836411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207962361 + ... + 207962631.

It is an arithmetic number, because the mean of its divisors is an integer number (269827740).

Almost surely, 2^56357836416 is an apocalyptic number.

56357836416 is a gapful number since it is divisible by the number (56) 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 56357836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103613852160).

56357836416 is an abundant number, since it is smaller than the sum of its proper divisors (150869867904).

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

56357836416 is a wasteful number, since it uses less digits than its factorization.

56357836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 56357836416 in words is "fifty-six billion, three hundred fifty-seven million, eight hundred thirty-six thousand, four hundred sixteen".