22752705600 has 315 divisors, whose sum is σ = 83833300837. Its totient is φ = 6052907520.

The previous prime is 22752705581. The next prime is 22752705611. The reversal of 22752705600 is 650725722.

The square root of 22752705600 is 150840.

It is a perfect power (a square), and thus also a powerful number.

22752705600 is a `hidden beast` number, since 2 + 2 + 75 + 27 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8190974016 + 14561731584 = 90504^2 + 120672^2 .

It is a super-2 number, since 2×22752705600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54302191 + ... + 54302609.

Almost surely, 2^22752705600 is an apocalyptic number.

22752705600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22752705600 is the 150840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22752705600

22752705600 is an abundant number, since it is smaller than the sum of its proper divisors (61080595237).

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

22752705600 is an frugal number, since it uses more digits than its factorization.

22752705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 22752705600 by its sum of digits (36), we get a square (819097401600 = 905040²).

22752705600 divided by its sum of digits (36) gives a square (632019600 = 25140²).

The spelling of 22752705600 in words is "twenty-two billion, seven hundred fifty-two million, seven hundred five thousand, six hundred".