56446132900 has 144 divisors (see below), whose sum is σ = 130676011200. Its totient is φ = 21103165440.

The previous prime is 56446132877. The next prime is 56446132921. The reversal of 56446132900 is 923164465.

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, 60759636 + ... + 60760564.

It is an arithmetic number, because the mean of its divisors is an integer number (907472300).

Almost surely, 2^56446132900 is an apocalyptic number.

56446132900 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 56446132900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65338005600).

56446132900 is an abundant number, since it is smaller than the sum of its proper divisors (74229878300).

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

56446132900 is a wasteful number, since it uses less digits than its factorization.

56446132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 56446132900 in words is "fifty-six billion, four hundred forty-six million, one hundred thirty-two thousand, nine hundred".