556116406560 has 432 divisors, whose sum is σ = 2246420692152. Its totient is φ = 124445122560.

The previous prime is 556116406487. The next prime is 556116406567. The reversal of 556116406560 is 65604611655.

556116406560 is a `hidden beast` number, since 556 + 1 + 1 + 6 + 40 + 6 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331679239056 + 224437167504 = 575916^2 + 473748^2 .

It is a super-2 number, since 2×556116406560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (556116406567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2142364 + ... + 2387876.

Almost surely, 2^556116406560 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 556116406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123210346076).

556116406560 is an abundant number, since it is smaller than the sum of its proper divisors (1690304285592).

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

556116406560 is a wasteful number, since it uses less digits than its factorization.

556116406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245569 (or 245547 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 556116406560 in words is "five hundred fifty-six billion, one hundred sixteen million, four hundred six thousand, five hundred sixty".