23321300048800 has 288 divisors, whose sum is σ = 62086778691840. Its totient is φ = 8502479462400.

The previous prime is 23321300048773. The next prime is 23321300048987. The reversal of 23321300048800 is 884000312332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687703845 + ... + 687737755.

It is an arithmetic number, because the mean of its divisors is an integer number (215579092680).

Almost surely, 2^{23321300048800} is an apocalyptic number.

23321300048800 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 23321300048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31043389345920).

23321300048800 is an abundant number, since it is smaller than the sum of its proper divisors (38765478643040).

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

23321300048800 is a wasteful number, since it uses less digits than its factorization.

23321300048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34776 (or 34763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 23321300048800 in words is "twenty-three trillion, three hundred twenty-one billion, three hundred million, forty-eight thousand, eight hundred".