22585047768 has 192 divisors, whose sum is σ = 64711046400. Its totient is φ = 7106641920.

The previous prime is 22585047763. The next prime is 22585047787. The reversal of 22585047768 is 86774058522.

22585047768 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 504 + 77 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22585047761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15804078 + ... + 15805506.

It is an arithmetic number, because the mean of its divisors is an integer number (337036700).

Almost surely, 2^22585047768 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 22585047768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32355523200).

22585047768 is an abundant number, since it is smaller than the sum of its proper divisors (42125998632).

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

22585047768 is a wasteful number, since it uses less digits than its factorization.

22585047768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 22585047768 in words is "twenty-two billion, five hundred eighty-five million, forty-seven thousand, seven hundred sixty-eight".