56580117132 has 144 divisors (see below), whose sum is σ = 167985256320. Its totient is φ = 14656723200.

The previous prime is 56580117131. The next prime is 56580117133. The reversal of 56580117132 is 23171108565.

It is an interprime number because it is at equal distance from previous prime (56580117131) and next prime (56580117133).

It is not an unprimeable number, because it can be changed into a prime (56580117131) 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, 2439832 + ... + 2462912.

It is an arithmetic number, because the mean of its divisors is an integer number (1166564280).

Almost surely, 2^56580117132 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 56580117132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83992628160).

56580117132 is an abundant number, since it is smaller than the sum of its proper divisors (111405139188).

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

56580117132 is a wasteful number, since it uses less digits than its factorization.

56580117132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23492 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 56580117132 in words is "fifty-six billion, five hundred eighty million, one hundred seventeen thousand, one hundred thirty-two".