56277112320 has 1920 divisors, whose sum is σ = 257383526400. Its totient is φ = 11147673600.

The previous prime is 56277112313. The next prime is 56277112321. The reversal of 56277112320 is 2321177265.

56277112320 is a `hidden beast` number, since 5 + 627 + 7 + 1 + 1 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×56277112320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56277112321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1815390705 + ... + 1815390735.

It is an arithmetic number, because the mean of its divisors is an integer number (134053920).

Almost surely, 2^56277112320 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 56277112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128691763200).

56277112320 is an abundant number, since it is smaller than the sum of its proper divisors (201106414080).

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

56277112320 is a wasteful number, since it uses less digits than its factorization.

56277112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 56277112320 its reverse (2321177265), we get a palindrome (58598289585).

The spelling of 56277112320 in words is "fifty-six billion, two hundred seventy-seven million, one hundred twelve thousand, three hundred twenty".