56201066964 has 144 divisors (see below), whose sum is σ = 167794099200. Its totient is φ = 15521103360.

The previous prime is 56201066959. The next prime is 56201067017. The reversal of 56201066964 is 46966010265.

56201066964 is a `hidden beast` number, since 5 + 620 + 10 + 6 + 6 + 9 + 6 + 4 = 666.

56201066964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7441062 + ... + 7448610.

It is an arithmetic number, because the mean of its divisors is an integer number (1165236800).

Almost surely, 2^56201066964 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 56201066964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83897049600).

56201066964 is an abundant number, since it is smaller than the sum of its proper divisors (111593032236).

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

56201066964 is a wasteful number, since it uses less digits than its factorization.

56201066964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56201066964 in words is "fifty-six billion, two hundred one million, sixty-six thousand, nine hundred sixty-four".