559664768880 has 240 divisors, whose sum is σ = 2193750733824. Its totient is φ = 125201548800.

The previous prime is 559664768867. The next prime is 559664768891. The reversal of 559664768880 is 88867466955.

It is a happy number.

559664768880 is a `hidden beast` number, since 559 + 6 + 6 + 4 + 7 + 68 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 559664768799 and 559664768808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944446 + ... + 1418205.

Almost surely, 2^559664768880 is an apocalyptic number.

It is an amenable number.

559664768880 is an abundant number, since it is smaller than the sum of its proper divisors (1634085964944).

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

559664768880 is a wasteful number, since it uses less digits than its factorization.

559664768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362724 (or 2362715 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 559664768880 in words is "five hundred fifty-nine billion, six hundred sixty-four million, seven hundred sixty-eight thousand, eight hundred eighty".