56011512960 has 640 divisors, whose sum is σ = 228131996400. Its totient is φ = 12973768704.

The previous prime is 56011512959. The next prime is 56011512961. The reversal of 56011512960 is 6921511065.

56011512960 is a `hidden beast` number, since 56 + 0 + 1 + 1 + 512 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56011512959) and next prime (56011512961).

It can be written as a sum of positive squares in 8 ways, for example, as 27114232896 + 28897280064 = 164664^2 + 169992^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (56011512961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11454196 + ... + 11459084.

Almost surely, 2^56011512960 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 56011512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114065998200).

56011512960 is an abundant number, since it is smaller than the sum of its proper divisors (172120483440).

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

56011512960 is a wasteful number, since it uses less digits than its factorization.

56011512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 56011512960 in words is "fifty-six billion, eleven million, five hundred twelve thousand, nine hundred sixty".