56332436160 has 1344 divisors, whose sum is σ = 252205857792. Its totient is φ = 10285056000.

The previous prime is 56332436131. The next prime is 56332436161. The reversal of 56332436160 is 6163423365.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56332436161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 923482530 + ... + 923482590.

It is an arithmetic number, because the mean of its divisors is an integer number (187653168).

Almost surely, 2^56332436160 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 56332436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126102928896).

56332436160 is an abundant number, since it is smaller than the sum of its proper divisors (195873421632).

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

56332436160 is a wasteful number, since it uses less digits than its factorization.

56332436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 56332436160 in words is "fifty-six billion, three hundred thirty-two million, four hundred thirty-six thousand, one hundred sixty".