56965661953600 has 189 divisors, whose sum is σ = 147951743595921. Its totient is φ = 21584813990400.

The previous prime is 56965661953559. The next prime is 56965661953631. The reversal of 56965661953600 is 635916656965.

The square root of 56965661953600 is 7547560.

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

It can be written as a sum of positive squares in only one way, i.e., 20507638303296 + 36458023650304 = 4528536^2 + 6038048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5736140635 + ... + 5736150565.

Almost surely, 2^{56965661953600} is an apocalyptic number.

56965661953600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56965661953600 is the 7547560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56965661953600

56965661953600 is an abundant number, since it is smaller than the sum of its proper divisors (90986081642321).

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

56965661953600 is an frugal number, since it uses more digits than its factorization.

56965661953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19922 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 236196000, while the sum is 67.

The spelling of 56965661953600 in words is "fifty-six trillion, nine hundred sixty-five billion, six hundred sixty-one million, nine hundred fifty-three thousand, six hundred".