56714505120 has 864 divisors, whose sum is σ = 256787124048. Its totient is φ = 11259150336.

The previous prime is 56714505109. The next prime is 56714505161. The reversal of 56714505120 is 2150541765.

56714505120 is a `hidden beast` number, since 567 + 1 + 45 + 0 + 51 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6901621776 + 49812883344 = 83076^2 + 223188^2 .

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

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 143 ways as a sum of consecutive naturals, for example, 15591942 + ... + 15595578.

Almost surely, 2^56714505120 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 56714505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128393562024).

56714505120 is an abundant number, since it is smaller than the sum of its proper divisors (200072618928).

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

56714505120 is a wasteful number, since it uses less digits than its factorization.

56714505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 56714505120 in words is "fifty-six billion, seven hundred fourteen million, five hundred five thousand, one hundred twenty".