556565120 has 64 divisors (see below), whose sum is σ = 1333743840. Its totient is φ = 222090240.

The previous prime is 556565099. The next prime is 556565153. The reversal of 556565120 is 21565655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×556565120² = 619529465601228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364679 + ... + 366201.

Almost surely, 2^556565120 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 556565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666871920).

556565120 is an abundant number, since it is smaller than the sum of its proper divisors (777178720).

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

556565120 is a wasteful number, since it uses less digits than its factorization.

556565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 556565120 is about 23591.6324149051. The cubic root of 556565120 is about 822.5683501186.

The spelling of 556565120 in words is "five hundred fifty-six million, five hundred sixty-five thousand, one hundred twenty".