56011680 has 144 divisors (see below), whose sum is σ = 193591944. Its totient is φ = 14745600.

The previous prime is 56011679. The next prime is 56011729. The reversal of 56011680 is 8611065.

56011680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54819216 + 1192464 = 7404^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 139480 + ... + 139880.

Almost surely, 2^56011680 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 56011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96795972).

56011680 is an abundant number, since it is smaller than the sum of its proper divisors (137580264).

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

56011680 is a wasteful number, since it uses less digits than its factorization.

56011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 56011680 is about 7484.0951356861. The cubic root of 56011680 is about 382.6128335581.

The spelling of 56011680 in words is "fifty-six million, eleven thousand, six hundred eighty".