23872320000 has 600 divisors, whose sum is σ = 89573339856. Its totient is φ = 6345216000.

The previous prime is 23872319953. The next prime is 23872320047. The reversal of 23872320000 is 2327832.

It is an interprime number because it is at equal distance from previous prime (23872319953) and next prime (23872320047).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77759847 + ... + 77760153.

Almost surely, 2^23872320000 is an apocalyptic number.

23872320000 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 23872320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786669928).

23872320000 is an abundant number, since it is smaller than the sum of its proper divisors (65701019856).

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

23872320000 is an frugal number, since it uses more digits than its factorization.

23872320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 23872320000 its reverse (2327832), we get a palindrome (23874647832).

The spelling of 23872320000 in words is "twenty-three billion, eight hundred seventy-two million, three hundred twenty thousand".