23712480000 has 720 divisors, whose sum is σ = 95781840000. Its totient is φ = 5736960000.

The previous prime is 23712479977. The next prime is 23712480013. The reversal of 23712480000 is 8421732.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 47519751 + ... + 47520249.

Almost surely, 2^23712480000 is an apocalyptic number.

23712480000 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 23712480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47890920000).

23712480000 is an abundant number, since it is smaller than the sum of its proper divisors (72069360000).

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

23712480000 is an equidigital number, since it uses as much as digits as its factorization.

23712480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 23712480000 in words is "twenty-three billion, seven hundred twelve million, four hundred eighty thousand".