23253832000 has 336 divisors, whose sum is σ = 67635077328. Its totient is φ = 7896268800.

The previous prime is 23253831947. The next prime is 23253832027. The reversal of 23253832000 is 23835232.

It can be written as a sum of positive squares in 8 ways, for example, as 11584647424 + 11669184576 = 107632^2 + 108024^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23253832000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53703784 + ... + 53704216.

It is an arithmetic number, because the mean of its divisors is an integer number (201294873).

Almost surely, 2^23253832000 is an apocalyptic number.

23253832000 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 23253832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33817538664).

23253832000 is an abundant number, since it is smaller than the sum of its proper divisors (44381245328).

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

23253832000 is a wasteful number, since it uses less digits than its factorization.

23253832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 23253832000 in words is "twenty-three billion, two hundred fifty-three million, eight hundred thirty-two thousand".