56440832000 has 480 divisors, whose sum is σ = 167498612736. Its totient is φ = 18579456000.

The previous prime is 56440831973. The next prime is 56440832047. The reversal of 56440832000 is 23804465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444415937 + ... + 444416063.

Almost surely, 2^56440832000 is an apocalyptic number.

56440832000 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 56440832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83749306368).

56440832000 is an abundant number, since it is smaller than the sum of its proper divisors (111057780736).

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

56440832000 is an equidigital number, since it uses as much as digits as its factorization.

56440832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 56440832000 in words is "fifty-six billion, four hundred forty million, eight hundred thirty-two thousand".