56964413200 has 90 divisors (see below), whose sum is σ = 137726439594. Its totient is φ = 22641315840.

The previous prime is 56964413167. The next prime is 56964413221. The reversal of 56964413200 is 231446965.

It can be written as a sum of positive squares in 3 ways, for example, as 755590144 + 56208823056 = 27488^2 + 237084^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66314371 + ... + 66315229.

Almost surely, 2^56964413200 is an apocalyptic number.

56964413200 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 56964413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68863219797).

56964413200 is an abundant number, since it is smaller than the sum of its proper divisors (80762026394).

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

56964413200 is an equidigital number, since it uses as much as digits as its factorization.

56964413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1059 counting only the distinct ones).

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

The spelling of 56964413200 in words is "fifty-six billion, nine hundred sixty-four million, four hundred thirteen thousand, two hundred".