23972545872000 has 768 divisors, whose sum is σ = 94973712537600. Its totient is φ = 5746194432000.

The previous prime is 23972545871969. The next prime is 23972545872071. The reversal of 23972545872000 is 27854527932.

23972545872000 is a `hidden beast` number, since 2 + 3 + 9 + 7 + 2 + 54 + 587 + 2 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 140890977 + ... + 141061023.

It is an arithmetic number, because the mean of its divisors is an integer number (123663688200).

Almost surely, 2^{23972545872000} is an apocalyptic number.

23972545872000 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 23972545872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47486856268800).

23972545872000 is an abundant number, since it is smaller than the sum of its proper divisors (71001166665600).

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

23972545872000 is a wasteful number, since it uses less digits than its factorization.

23972545872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170182 (or 170157 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 23972545872000 in words is "twenty-three trillion, nine hundred seventy-two billion, five hundred forty-five million, eight hundred seventy-two thousand".