23331409920000 has 2880 divisors, whose sum is σ = 105204065297760. Its totient is φ = 4876664832000.

The previous prime is 23331409919989. The next prime is 23331409920031. The reversal of 23331409920000 is 2990413332.

23331409920000 is a `hidden beast` number, since 233 + 314 + 0 + 99 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 218050559947 + ... + 218050560053.

Almost surely, 2^{23331409920000} is an apocalyptic number.

23331409920000 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 23331409920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52602032648880).

23331409920000 is an abundant number, since it is smaller than the sum of its proper divisors (81872655377760).

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

23331409920000 is an equidigital number, since it uses as much as digits as its factorization.

23331409920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 23331409920000 in words is "twenty-three trillion, three hundred thirty-one billion, four hundred nine million, nine hundred twenty thousand".