56065615100 has 144 divisors (see below), whose sum is σ = 134857681056. Its totient is φ = 20062080000.

The previous prime is 56065615079. The next prime is 56065615139. The reversal of 56065615100 is 151656065.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19218842 + ... + 19221758.

It is an arithmetic number, because the mean of its divisors is an integer number (936511674).

Almost surely, 2^56065615100 is an apocalyptic number.

56065615100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56065615100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67428840528).

56065615100 is an abundant number, since it is smaller than the sum of its proper divisors (78792065956).

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

56065615100 is a wasteful number, since it uses less digits than its factorization.

56065615100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 56065615100 in words is "fifty-six billion, sixty-five million, six hundred fifteen thousand, one hundred".