56006936832 has 288 divisors, whose sum is σ = 196776566784. Its totient is φ = 13691289600.

The previous prime is 56006936831. The next prime is 56006936851. The reversal of 56006936832 is 23863960065.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56006936831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 977457 + ... + 1033167.

It is an arithmetic number, because the mean of its divisors is an integer number (683251968).

Almost surely, 2^56006936832 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 56006936832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98388283392).

56006936832 is an abundant number, since it is smaller than the sum of its proper divisors (140769629952).

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

56006936832 is a wasteful number, since it uses less digits than its factorization.

56006936832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55765 (or 55751 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 56006936832 in words is "fifty-six billion, six million, nine hundred thirty-six thousand, eight hundred thirty-two".