23152068800 has 504 divisors, whose sum is σ = 72708516000. Its totient is φ = 7201259520.

The previous prime is 23152068791. The next prime is 23152068833. The reversal of 23152068800 is 886025132.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38650901 + ... + 38651499.

Almost surely, 2^23152068800 is an apocalyptic number.

23152068800 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 23152068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36354258000).

23152068800 is an abundant number, since it is smaller than the sum of its proper divisors (49556447200).

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

23152068800 is a wasteful number, since it uses less digits than its factorization.

23152068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 23152068800 in words is "twenty-three billion, one hundred fifty-two million, sixty-eight thousand, eight hundred".