556679285316 has 384 divisors, whose sum is σ = 1833431040000. Its totient is φ = 141864566400.

The previous prime is 556679285299. The next prime is 556679285317. The reversal of 556679285316 is 613582976655.

It is a happy number.

556679285316 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 7 + 92 + 8 + 531 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (556679285317) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 397911585 + ... + 397912983.

It is an arithmetic number, because the mean of its divisors is an integer number (4774560000).

Almost surely, 2^556679285316 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 556679285316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916715520000).

556679285316 is an abundant number, since it is smaller than the sum of its proper divisors (1276751754684).

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

556679285316 is a wasteful number, since it uses less digits than its factorization.

556679285316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2292 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 556679285316 in words is "five hundred fifty-six billion, six hundred seventy-nine million, two hundred eighty-five thousand, three hundred sixteen".