556430889600 has 432 divisors, whose sum is σ = 2109167152170. Its totient is φ = 139651153920.

The previous prime is 556430889589. The next prime is 556430889601. The reversal of 556430889600 is 6988034655.

It is a happy number.

556430889600 is a `hidden beast` number, since 556 + 4 + 3 + 0 + 8 + 89 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 326790582336 + 229640307264 = 571656^2 + 479208^2 .

It is not an unprimeable number, because it can be changed into a prime (556430889601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8289774 + ... + 8356626.

Almost surely, 2^556430889600 is an apocalyptic number.

556430889600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556430889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054583576085).

556430889600 is an abundant number, since it is smaller than the sum of its proper divisors (1552736262570).

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

556430889600 is a wasteful number, since it uses less digits than its factorization.

556430889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66917 (or 66880 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 556430889600 in words is "five hundred fifty-six billion, four hundred thirty million, eight hundred eighty-nine thousand, six hundred".