56100500560 has 80 divisors (see below), whose sum is σ = 141050503440. Its totient is φ = 20627988480.

The previous prime is 56100500543. The next prime is 56100500569. The reversal of 56100500560 is 6500500165.

56100500560 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 8 ways, for example, as 3102935616 + 52997564944 = 55704^2 + 230212^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56100500569) 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, 138726 + ... + 362554.

It is an arithmetic number, because the mean of its divisors is an integer number (1763131293).

Almost surely, 2^56100500560 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 56100500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70525251720).

56100500560 is an abundant number, since it is smaller than the sum of its proper divisors (84950002880).

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

56100500560 is a wasteful number, since it uses less digits than its factorization.

56100500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224096 (or 224090 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 56100500560 in words is "fifty-six billion, one hundred million, five hundred thousand, five hundred sixty".