563585932160 has 128 divisors (see below), whose sum is σ = 1392145090560. Its totient is φ = 217948907520.

The previous prime is 563585932127. The next prime is 563585932171. The reversal of 563585932160 is 61239585365.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×563585932160² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 21076559 + ... + 21103281.

It is an arithmetic number, because the mean of its divisors is an integer number (10876133520).

Almost surely, 2^563585932160 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 563585932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696072545280).

563585932160 is an abundant number, since it is smaller than the sum of its proper divisors (828559158400).

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

563585932160 is a wasteful number, since it uses less digits than its factorization.

563585932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836 (or 27824 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 563585932160 in words is "five hundred sixty-three billion, five hundred eighty-five million, nine hundred thirty-two thousand, one hundred sixty".