556311706272 has 1296 divisors, whose sum is σ = 2136094571520. Its totient is φ = 136071290880.

The previous prime is 556311706261. The next prime is 556311706273. The reversal of 556311706272 is 272607113655.

It is a happy number.

556311706272 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 1 + 17 + 0 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556311706273) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4380407073 + ... + 4380407199.

It is an arithmetic number, because the mean of its divisors is an integer number (1648221120).

Almost surely, 2^556311706272 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 556311706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068047285760).

556311706272 is an abundant number, since it is smaller than the sum of its proper divisors (1579782865248).

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

556311706272 is a wasteful number, since it uses less digits than its factorization.

556311706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 556311706272 in words is "five hundred fifty-six billion, three hundred eleven million, seven hundred six thousand, two hundred seventy-two".