56565949440 has 1056 divisors, whose sum is σ = 245114919936. Its totient is φ = 10811473920.

The previous prime is 56565949421. The next prime is 56565949571. The reversal of 56565949440 is 4494956565.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×56565949440³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199879539 + ... + 199879821.

Almost surely, 2^56565949440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56565949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122557459968).

56565949440 is an abundant number, since it is smaller than the sum of its proper divisors (188548970496).

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

56565949440 is a wasteful number, since it uses less digits than its factorization.

56565949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 56565949440 in words is "fifty-six billion, five hundred sixty-five million, nine hundred forty-nine thousand, four hundred forty".