56589960012 has 192 divisors, whose sum is σ = 147126067200. Its totient is φ = 16896255552.

The previous prime is 56589959981. The next prime is 56589960019. The reversal of 56589960012 is 21006998565.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56589960019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316144939 + ... + 316145117.

It is an arithmetic number, because the mean of its divisors is an integer number (766281600).

Almost surely, 2^56589960012 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 56589960012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73563033600).

56589960012 is an abundant number, since it is smaller than the sum of its proper divisors (90536107188).

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

56589960012 is a wasteful number, since it uses less digits than its factorization.

56589960012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 56589960012 in words is "fifty-six billion, five hundred eighty-nine million, nine hundred sixty thousand, twelve".