23509752422400 has 2688 divisors, whose sum is σ = 95483374387200. Its totient is φ = 5652401356800.

The previous prime is 23509752422383. The next prime is 23509752422441. The reversal of 23509752422400 is 422425790532.

23509752422400 is a `hidden beast` number, since 2 + 3 + 50 + 97 + 52 + 422 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264154521556 + ... + 264154521644.

Almost surely, 2^{23509752422400} is an apocalyptic number.

23509752422400 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 23509752422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47741687193600).

23509752422400 is an abundant number, since it is smaller than the sum of its proper divisors (71973621964800).

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

23509752422400 is a wasteful number, since it uses less digits than its factorization.

23509752422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 23509752422400 in words is "twenty-three trillion, five hundred nine billion, seven hundred fifty-two million, four hundred twenty-two thousand, four hundred".