23959440960 has 1008 divisors, whose sum is σ = 101373895296. Its totient is φ = 4692639744.

The previous prime is 23959440917. The next prime is 23959440979. The reversal of 23959440960 is 6904495932.

It is a super-2 number, since 2×23959440960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 328211484 + ... + 328211556.

Almost surely, 2^23959440960 is an apocalyptic number.

23959440960 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 23959440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50686947648).

23959440960 is an abundant number, since it is smaller than the sum of its proper divisors (77414454336).

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

23959440960 is a wasteful number, since it uses less digits than its factorization.

23959440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 23959440960 in words is "twenty-three billion, nine hundred fifty-nine million, four hundred forty thousand, nine hundred sixty".