56963368900 has 81 divisors (see below), whose sum is σ = 128175664071. Its totient is φ = 21972914880.

The previous prime is 56963368897. The next prime is 56963368909. The reversal of 56963368900 is 986336965.

The square root of 56963368900 is 238670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 782992324 + 56180376576 = 27982^2 + 237024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56963368909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69213889 + ... + 69214711.

Almost surely, 2^56963368900 is an apocalyptic number.

56963368900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56963368900 is the 238670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56963368900

56963368900 is an abundant number, since it is smaller than the sum of its proper divisors (71212295171).

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

56963368900 is an equidigital number, since it uses as much as digits as its factorization.

56963368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 56963368900 in words is "fifty-six billion, nine hundred sixty-three million, three hundred sixty-eight thousand, nine hundred".