559917895680 has 1664 divisors, whose sum is σ = 2395053642240. Its totient is φ = 122305904640.

The previous prime is 559917895661. The next prime is 559917895687. The reversal of 559917895680 is 86598719955.

559917895680 is a `hidden beast` number, since 5 + 59 + 9 + 1 + 7 + 8 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 = 559917895599 and 559917895608.

It is not an unprimeable number, because it can be changed into a prime (559917895687) 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 127 ways as a sum of consecutive naturals, for example, 5772349392 + ... + 5772349488.

Almost surely, 2^559917895680 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 559917895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197526821120).

559917895680 is an abundant number, since it is smaller than the sum of its proper divisors (1835135746560).

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

559917895680 is a wasteful number, since it uses less digits than its factorization.

559917895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 72.

The spelling of 559917895680 in words is "five hundred fifty-nine billion, nine hundred seventeen million, eight hundred ninety-five thousand, six hundred eighty".