56000010060 has 144 divisors (see below), whose sum is σ = 171897616800. Its totient is φ = 14755525632.

The previous prime is 56000010049. The next prime is 56000010061. The reversal of 56000010060 is 6001000065.

56000010060 is a `hidden beast` number, since 5 + 600 + 0 + 0 + 1 + 0 + 0 + 60 = 666.

56000010060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56000010060² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (56000010061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7873786 + ... + 7880894.

It is an arithmetic number, because the mean of its divisors is an integer number (1193733450).

Almost surely, 2^56000010060 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 56000010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85948808400).

56000010060 is an abundant number, since it is smaller than the sum of its proper divisors (115897606740).

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

56000010060 is a wasteful number, since it uses less digits than its factorization.

56000010060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 56000010060 in words is "fifty-six billion, ten thousand, sixty".