23152665600 has 297 divisors, whose sum is σ = 83159827387. Its totient is φ = 6154567680.

The previous prime is 23152665581. The next prime is 23152665607. The reversal of 23152665600 is 656625132.

It is a happy number.

The square root of 23152665600 is 152160.

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

23152665600 is a `hidden beast` number, since 2 + 31 + 5 + 2 + 66 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9345475584 + 13807190016 = 96672^2 + 117504^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23152665607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73036642 + ... + 73036958.

Almost surely, 2^23152665600 is an apocalyptic number.

23152665600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23152665600 is the 152160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23152665600

23152665600 is an abundant number, since it is smaller than the sum of its proper divisors (60007161787).

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

23152665600 is an equidigital number, since it uses as much as digits as its factorization.

23152665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 23152665600 by its sum of digits (36), we get a square (833495961600 = 912960²).

23152665600 divided by its sum of digits (36) gives a square (643129600 = 25360²).

The spelling of 23152665600 in words is "twenty-three billion, one hundred fifty-two million, six hundred sixty-five thousand, six hundred".