22753757952 has 648 divisors, whose sum is σ = 77241615360. Its totient is φ = 6651279360.

The previous prime is 22753757927. The next prime is 22753757953. The reversal of 22753757952 is 25975735722.

22753757952 is a `hidden beast` number, since 2 + 2 + 7 + 537 + 57 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22753757953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 733992177 + ... + 733992207.

Almost surely, 2^22753757952 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 22753757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620807680).

22753757952 is an abundant number, since it is smaller than the sum of its proper divisors (54487857408).

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

22753757952 is an frugal number, since it uses more digits than its factorization.

22753757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its digits is 9261000, while the sum is 54.

The spelling of 22753757952 in words is "twenty-two billion, seven hundred fifty-three million, seven hundred fifty-seven thousand, nine hundred fifty-two".