56599165440 has 720 divisors, whose sum is σ = 213505763328. Its totient is φ = 13829308416.

The previous prime is 56599165361. The next prime is 56599165453. The reversal of 56599165440 is 4456199565.

56599165440 is a `hidden beast` number, since 5 + 6 + 5 + 9 + 91 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445662657 + ... + 445662783.

Almost surely, 2^56599165440 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 56599165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106752881664).

56599165440 is an abundant number, since it is smaller than the sum of its proper divisors (156906597888).

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

56599165440 is a wasteful number, since it uses less digits than its factorization.

56599165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 56599165440 in words is "fifty-six billion, five hundred ninety-nine million, one hundred sixty-five thousand, four hundred forty".