56164032000 has 480 divisors, whose sum is σ = 203597263584. Its totient is φ = 14880768000.

The previous prime is 56164031993. The next prime is 56164032017. The reversal of 56164032000 is 23046165.

56164032000 is a `hidden beast` number, since 5 + 616 + 40 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 161855827 + ... + 161856173.

Almost surely, 2^56164032000 is an apocalyptic number.

56164032000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56164032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101798631792).

56164032000 is an abundant number, since it is smaller than the sum of its proper divisors (147433231584).

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

56164032000 is a wasteful number, since it uses less digits than its factorization.

56164032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 56164032000 its reverse (23046165), we get a palindrome (56187078165).

The spelling of 56164032000 in words is "fifty-six billion, one hundred sixty-four million, thirty-two thousand".