22956729600 has 216 divisors, whose sum is σ = 86585638720. Its totient is φ = 5247221760.

The previous prime is 22956729589. The next prime is 22956729611. The reversal of 22956729600 is 692765922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22956729589) and next prime (22956729611).

It is a super-2 number, since 2×22956729600² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22956729600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48996 + ... + 219804.

Almost surely, 2^22956729600 is an apocalyptic number.

22956729600 is a gapful number since it is divisible by the number (20) 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 22956729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292819360).

22956729600 is an abundant number, since it is smaller than the sum of its proper divisors (63628909120).

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

22956729600 is a wasteful number, since it uses less digits than its factorization.

22956729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170845 (or 170826 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 22956729600 in words is "twenty-two billion, nine hundred fifty-six million, seven hundred twenty-nine thousand, six hundred".