556583031060 has 768 divisors, whose sum is σ = 2023302758400. Its totient is φ = 111396612096.

The previous prime is 556583031031. The next prime is 556583031101. The reversal of 556583031060 is 60130385655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 860251657 + ... + 860252303.

It is an arithmetic number, because the mean of its divisors is an integer number (2634508800).

Almost surely, 2^556583031060 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 556583031060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011651379200).

556583031060 is an abundant number, since it is smaller than the sum of its proper divisors (1466719727340).

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

556583031060 is a wasteful number, since it uses less digits than its factorization.

556583031060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 556583031060 in words is "five hundred fifty-six billion, five hundred eighty-three million, thirty-one thousand, sixty".