559680768864 has 144 divisors (see below), whose sum is σ = 1829013207840. Its totient is φ = 159025213440.

The previous prime is 559680768859. The next prime is 559680768883. The reversal of 559680768864 is 468867086955.

It is a happy number.

559680768864 is a `hidden beast` number, since 559 + 6 + 8 + 0 + 7 + 6 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 559680768792 and 559680768801.

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 23 ways as a sum of consecutive naturals, for example, 402009 + ... + 1131800.

It is an arithmetic number, because the mean of its divisors is an integer number (12701480610).

Almost surely, 2^559680768864 is an apocalyptic number.

It is an amenable number.

559680768864 is an abundant number, since it is smaller than the sum of its proper divisors (1269332438976).

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

559680768864 is a wasteful number, since it uses less digits than its factorization.

559680768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534013 (or 1534002 counting only the distinct ones).

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

The spelling of 559680768864 in words is "five hundred fifty-nine billion, six hundred eighty million, seven hundred sixty-eight thousand, eight hundred sixty-four".