23959152000 has 1280 divisors, whose sum is σ = 107819712000. Its totient is φ = 5150822400.

The previous prime is 23959151971. The next prime is 23959152059. The reversal of 23959152000 is 25195932.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 172367931 + ... + 172368069.

It is an arithmetic number, because the mean of its divisors is an integer number (84234150).

Almost surely, 2^23959152000 is an apocalyptic number.

23959152000 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 23959152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53909856000).

23959152000 is an abundant number, since it is smaller than the sum of its proper divisors (83860560000).

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

23959152000 is a wasteful number, since it uses less digits than its factorization.

23959152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 23959152000 in words is "twenty-three billion, nine hundred fifty-nine million, one hundred fifty-two thousand".