22585079088 has 480 divisors, whose sum is σ = 79335547200. Its totient is φ = 5892341760.

The previous prime is 22585079053. The next prime is 22585079089. The reversal of 22585079088 is 88097058522.

22585079088 is a `hidden beast` number, since 2 + 2 + 58 + 507 + 9 + 0 + 88 = 666.

It is a super-2 number, since 2×22585079088² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22585079089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52159320 + ... + 52159752.

It is an arithmetic number, because the mean of its divisors is an integer number (165282390).

Almost surely, 2^22585079088 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 22585079088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39667773600).

22585079088 is an abundant number, since it is smaller than the sum of its proper divisors (56750468112).

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

22585079088 is a wasteful number, since it uses less digits than its factorization.

22585079088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 22585079088 in words is "twenty-two billion, five hundred eighty-five million, seventy-nine thousand, eighty-eight".