559404817920 has 1440 divisors, whose sum is σ = 2310901905312. Its totient is φ = 129185611776.

The previous prime is 559404817919. The next prime is 559404817949. The reversal of 559404817920 is 29718404955.

It is a happy number.

559404817920 is a `hidden beast` number, since 5 + 5 + 94 + 0 + 481 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1787235684 + ... + 1787235996.

Almost surely, 2^559404817920 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 559404817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155450952656).

559404817920 is an abundant number, since it is smaller than the sum of its proper divisors (1751497087392).

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

559404817920 is a wasteful number, since it uses less digits than its factorization.

559404817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 559404817920 in words is "five hundred fifty-nine billion, four hundred four million, eight hundred seventeen thousand, nine hundred twenty".