22589105664 has 160 divisors (see below), whose sum is σ = 61318620000. Its totient is φ = 7388463104.

The previous prime is 22589105663. The next prime is 22589105701. The reversal of 22589105664 is 46650198522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22589105663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20368342 + ... + 20369450.

It is an arithmetic number, because the mean of its divisors is an integer number (383241375).

Almost surely, 2^22589105664 is an apocalyptic number.

22589105664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22589105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30659310000).

22589105664 is an abundant number, since it is smaller than the sum of its proper divisors (38729514336).

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

22589105664 is a wasteful number, since it uses less digits than its factorization.

22589105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 22589105664 in words is "twenty-two billion, five hundred eighty-nine million, one hundred five thousand, six hundred sixty-four".