559102340160 has 2688 divisors, whose sum is σ = 2661913497600. Its totient is φ = 109247201280.

The previous prime is 559102340141. The next prime is 559102340161. The reversal of 559102340160 is 61043201955.

559102340160 is a `hidden beast` number, since 5 + 59 + 102 + 340 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (559102340161) 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 383 ways as a sum of consecutive naturals, for example, 4947808264 + ... + 4947808376.

It is an arithmetic number, because the mean of its divisors is an integer number (990295200).

Almost surely, 2^559102340160 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 559102340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330956748800).

559102340160 is an abundant number, since it is smaller than the sum of its proper divisors (2102811157440).

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

559102340160 is a wasteful number, since it uses less digits than its factorization.

559102340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 559102340160 in words is "five hundred fifty-nine billion, one hundred two million, three hundred forty thousand, one hundred sixty".