559799061120 has 1728 divisors, whose sum is σ = 2329807989600. Its totient is φ = 128331620352.

The previous prime is 559799061119. The next prime is 559799061169. The reversal of 559799061120 is 21160997955.

559799061120 is a `hidden beast` number, since 559 + 7 + 9 + 9 + 0 + 61 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9488119651 + ... + 9488119709.

Almost surely, 2^559799061120 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 559799061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164903994800).

559799061120 is an abundant number, since it is smaller than the sum of its proper divisors (1770008928480).

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

559799061120 is a wasteful number, since it uses less digits than its factorization.

559799061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 559799061120 in words is "five hundred fifty-nine billion, seven hundred ninety-nine million, sixty-one thousand, one hundred twenty".