556408258560 has 1680 divisors, whose sum is σ = 2516744668032. Its totient is φ = 115617300480.

The previous prime is 556408258529. The next prime is 556408258561. The reversal of 556408258560 is 65852804655.

It is a happy number.

556408258560 is a `hidden beast` number, since 5 + 56 + 4 + 0 + 8 + 2 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 556408258497 and 556408258506.

It is not an unprimeable number, because it can be changed into a prime (556408258561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50582568955 + ... + 50582568965.

Almost surely, 2^556408258560 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 556408258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258372334016).

556408258560 is an abundant number, since it is smaller than the sum of its proper divisors (1960336409472).

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

556408258560 is an frugal number, since it uses more digits than its factorization.

556408258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 556408258560 in words is "five hundred fifty-six billion, four hundred eight million, two hundred fifty-eight thousand, five hundred sixty".