56032032000 has 576 divisors, whose sum is σ = 214276608000. Its totient is φ = 12712550400.

The previous prime is 56032031989. The next prime is 56032032019. The reversal of 56032032000 is 23023065.

It is a super-2 number, since 2×56032032000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133727791 + ... + 133728209.

It is an arithmetic number, because the mean of its divisors is an integer number (372008000).

Almost surely, 2^56032032000 is an apocalyptic number.

56032032000 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 56032032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107138304000).

56032032000 is an abundant number, since it is smaller than the sum of its proper divisors (158244576000).

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

56032032000 is a wasteful number, since it uses less digits than its factorization.

56032032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 56032032000 its reverse (23023065), we get a palindrome (56055055065).

The spelling of 56032032000 in words is "fifty-six billion, thirty-two million, thirty-two thousand", and thus it is an eban number.