23887872000 has 532 divisors, whose sum is σ = 89395127796. Its totient is φ = 6370099200.

The previous prime is 23887871983. The next prime is 23887872017. The reversal of 23887872000 is 27878832.

The cubic root of 23887872000 is 2880.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (2!)⁶.

It is an interprime number because it is at equal distance from previous prime (23887871983) and next prime (23887872017).

It can be written as a sum of positive squares in 2 ways, for example, as 764411904 + 23123460096 = 27648^2 + 152064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 4777574398 + ... + 4777574402.

Almost surely, 2^23887872000 is an apocalyptic number.

23887872000 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 23887872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44697563898).

23887872000 is an abundant number, since it is smaller than the sum of its proper divisors (65507255796).

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

23887872000 is an frugal number, since it uses more digits than its factorization.

23887872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

Multiplying 23887872000 by its sum of digits (45), we get a square (1074954240000 = 1036800²).

23887872000 divided by its sum of digits (45) gives a square (530841600 = 23040²).

The spelling of 23887872000 in words is "twenty-three billion, eight hundred eighty-seven million, eight hundred seventy-two thousand".