556318560 has 384 divisors, whose sum is σ = 2128896000. Its totient is φ = 121927680.

The previous prime is 556318559. The next prime is 556318601. The reversal of 556318560 is 65813655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5103786 + ... + 5103894.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2^556318560 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 556318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

556318560 is an abundant number, since it is smaller than the sum of its proper divisors (1572577440).

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

556318560 is a wasteful number, since it uses less digits than its factorization.

556318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 556318560 is about 23586.4062544509. The cubic root of 556318560 is about 822.4468654373.

The spelling of 556318560 in words is "five hundred fifty-six million, three hundred eighteen thousand, five hundred sixty".