23152320000 has 300 divisors, whose sum is σ = 83507612760. Its totient is φ = 6173184000.

The previous prime is 23152319989. The next prime is 23152320029. The reversal of 23152320000 is 2325132.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2875981 + ... + 2884019.

Almost surely, 2^23152320000 is an apocalyptic number.

23152320000 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 23152320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41753806380).

23152320000 is an abundant number, since it is smaller than the sum of its proper divisors (60355292760).

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

23152320000 is an frugal number, since it uses more digits than its factorization.

23152320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 23152320000 its reverse (2325132), we get a palindrome (23154645132).

The spelling of 23152320000 in words is "twenty-three billion, one hundred fifty-two million, three hundred twenty thousand".