5559461189568 has 560 divisors, whose sum is σ = 19985735024640. Its totient is φ = 1504923494400.

The previous prime is 5559461189563. The next prime is 5559461189593. The reversal of 5559461189568 is 8659811649555.

5559461189568 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 46 + 1 + 18 + 9 + 568 = 666.

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 = 5559461189496 and 5559461189505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5559461189563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22859713 + ... + 23101631.

It is an arithmetic number, because the mean of its divisors is an integer number (35688812544).

Almost surely, 2^{5559461189568} 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 5559461189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992867512320).

5559461189568 is an abundant number, since it is smaller than the sum of its proper divisors (14426273835072).

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

5559461189568 is a wasteful number, since it uses less digits than its factorization.

5559461189568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241998 (or 241979 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 72.

The spelling of 5559461189568 in words is "five trillion, five hundred fifty-nine billion, four hundred sixty-one million, one hundred eighty-nine thousand, five hundred sixty-eight".