556679359080 has 896 divisors, whose sum is σ = 2109707550720. Its totient is φ = 131211601920.

The previous prime is 556679359009. The next prime is 556679359087. The reversal of 556679359080 is 80953976655.

556679359080 is a `hidden beast` number, since 556 + 6 + 79 + 3 + 5 + 9 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 556679358999 and 556679359017.

It is not an unprimeable number, because it can be changed into a prime (556679359087) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1492437774 + ... + 1492438146.

It is an arithmetic number, because the mean of its divisors is an integer number (2354584320).

Almost surely, 2^556679359080 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 556679359080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054853775360).

556679359080 is an abundant number, since it is smaller than the sum of its proper divisors (1553028191640).

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

556679359080 is a wasteful number, since it uses less digits than its factorization.

556679359080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 556679359080 in words is "five hundred fifty-six billion, six hundred seventy-nine million, three hundred fifty-nine thousand, eighty".