56015100560 has 80 divisors (see below), whose sum is σ = 131376115200. Its totient is φ = 22210426368.

The previous prime is 56015100509. The next prime is 56015100563. The reversal of 56015100560 is 6500151065.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×56015100560³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56015100563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5508761 + ... + 5518919.

It is an arithmetic number, because the mean of its divisors is an integer number (1642201440).

Almost surely, 2^56015100560 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 56015100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65688057600).

56015100560 is an abundant number, since it is smaller than the sum of its proper divisors (75361014640).

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

56015100560 is a wasteful number, since it uses less digits than its factorization.

56015100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

It can be divided in two parts, 560151005 and 60, that added together give a palindrome (560151065).

The spelling of 56015100560 in words is "fifty-six billion, fifteen million, one hundred thousand, five hundred sixty".