23233512960 has 640 divisors, whose sum is σ = 97422336000. Its totient is φ = 5135892480.

The previous prime is 23233512959. The next prime is 23233513007. The reversal of 23233512960 is 6921533232.

23233512960 is a `hidden beast` number, since 2 + 32 + 335 + 1 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×23233512960² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998266 + ... + 14999814.

It is an arithmetic number, because the mean of its divisors is an integer number (152222400).

Almost surely, 2^23233512960 is an apocalyptic number.

23233512960 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 23233512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48711168000).

23233512960 is an abundant number, since it is smaller than the sum of its proper divisors (74188823040).

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

23233512960 is a wasteful number, since it uses less digits than its factorization.

23233512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 23233512960 in words is "twenty-three billion, two hundred thirty-three million, five hundred twelve thousand, nine hundred sixty".