23876332550400 has 2592 divisors, whose sum is σ = 95142110515200. Its totient is φ = 5250465792000.

The previous prime is 23876332550393. The next prime is 23876332550401. The reversal of 23876332550400 is 405523367832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23876332550400.

It is not an unprimeable number, because it can be changed into a prime (23876332550401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142972051117 + ... + 142972051283.

Almost surely, 2^{23876332550400} is an apocalyptic number.

23876332550400 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 23876332550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47571055257600).

23876332550400 is an abundant number, since it is smaller than the sum of its proper divisors (71265777964800).

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

23876332550400 is a wasteful number, since it uses less digits than its factorization.

23876332550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 23876332550400 in words is "twenty-three trillion, eight hundred seventy-six billion, three hundred thirty-two million, five hundred fifty thousand, four hundred".