556671984960 has 896 divisors, whose sum is σ = 2313013570560. Its totient is φ = 110457520128.

The previous prime is 556671984959. The next prime is 556671985033. The reversal of 556671984960 is 69489176655.

It is a junction number, because it is equal to n+sod(n) for n = 556671984891 and 556671984900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 429199032 + ... + 429200328.

It is an arithmetic number, because the mean of its divisors is an integer number (2581488360).

Almost surely, 2^556671984960 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 556671984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156506785280).

556671984960 is an abundant number, since it is smaller than the sum of its proper divisors (1756341585600).

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

556671984960 is a wasteful number, since it uses less digits than its factorization.

556671984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 556671984960 in words is "five hundred fifty-six billion, six hundred seventy-one million, nine hundred eighty-four thousand, nine hundred sixty".