556585998336 has 288 divisors, whose sum is σ = 1698750144000. Its totient is φ = 175205302272.

The previous prime is 556585998329. The next prime is 556585998337. The reversal of 556585998336 is 633899585655.

556585998336 is a `hidden beast` number, since 5 + 5 + 6 + 585 + 9 + 9 + 8 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556585998337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33482635 + ... + 33499253.

It is an arithmetic number, because the mean of its divisors is an integer number (5898438000).

Almost surely, 2^556585998336 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 556585998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849375072000).

556585998336 is an abundant number, since it is smaller than the sum of its proper divisors (1142164145664).

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

556585998336 is a wasteful number, since it uses less digits than its factorization.

556585998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749 (or 16726 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 556585998336 in words is "five hundred fifty-six billion, five hundred eighty-five million, nine hundred ninety-eight thousand, three hundred thirty-six".