23715828624400 has 480 divisors, whose sum is σ = 64637287698816. Its totient is φ = 8286105600000.

The previous prime is 23715828624379. The next prime is 23715828624401. The reversal of 23715828624400 is 442682851732.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23715828624401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7119730735 + ... + 7119734065.

Almost surely, 2^{23715828624400} is an apocalyptic number.

23715828624400 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 23715828624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32318643849408).

23715828624400 is an abundant number, since it is smaller than the sum of its proper divisors (40921459074416).

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

23715828624400 is a wasteful number, since it uses less digits than its factorization.

23715828624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 23715828624400 in words is "twenty-three trillion, seven hundred fifteen billion, eight hundred twenty-eight million, six hundred twenty-four thousand, four hundred".