56152177344 has 112 divisors (see below), whose sum is σ = 165989955040. Its totient is φ = 18613877760.

The previous prime is 56152177339. The next prime is 56152177363. The reversal of 56152177344 is 44377125165.

56152177344 is a `hidden beast` number, since 5 + 615 + 21 + 7 + 7 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56152177344.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223002 + ... + 402534.

It is an arithmetic number, because the mean of its divisors is an integer number (1482053170).

Almost surely, 2^56152177344 is an apocalyptic number.

56152177344 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 56152177344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994977520).

56152177344 is an abundant number, since it is smaller than the sum of its proper divisors (109837777696).

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

56152177344 is a wasteful number, since it uses less digits than its factorization.

56152177344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179735 (or 179719 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 56152177344 in words is "fifty-six billion, one hundred fifty-two million, one hundred seventy-seven thousand, three hundred forty-four".