56277172224 has 640 divisors, whose sum is σ = 207822494880. Its totient is φ = 14778630144.

The previous prime is 56277172213. The next prime is 56277172253. The reversal of 56277172224 is 42227177265.

56277172224 is a `hidden beast` number, since 5 + 627 + 7 + 17 + 2 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×56277172224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56277172224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241532812 + ... + 241533044.

Almost surely, 2^56277172224 is an apocalyptic number.

56277172224 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 56277172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103911247440).

56277172224 is an abundant number, since it is smaller than the sum of its proper divisors (151545322656).

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

56277172224 is an equidigital number, since it uses as much as digits as its factorization.

56277172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The spelling of 56277172224 in words is "fifty-six billion, two hundred seventy-seven million, one hundred seventy-two thousand, two hundred twenty-four".