56011344480 has 768 divisors, whose sum is σ = 244397260800. Its totient is φ = 11811059712.

The previous prime is 56011344449. The next prime is 56011344511. The reversal of 56011344480 is 8444311065.

56011344480 is a `hidden beast` number, since 5 + 60 + 113 + 4 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (56011344449) and next prime (56011344511).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31841841 + ... + 31843599.

It is an arithmetic number, because the mean of its divisors is an integer number (318225600).

Almost surely, 2^56011344480 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 56011344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122198630400).

56011344480 is an abundant number, since it is smaller than the sum of its proper divisors (188385916320).

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

56011344480 is a wasteful number, since it uses less digits than its factorization.

56011344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 56011344480 in words is "fifty-six billion, eleven million, three hundred forty-four thousand, four hundred eighty".