23878868428800 has 5760 divisors, whose sum is σ = 118344945438720. Its totient is φ = 4615136870400.

The previous prime is 23878868428787. The next prime is 23878868428871. The reversal of 23878868428800 is 882486887832.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 508061030377 + ... + 508061030423.

It is an arithmetic number, because the mean of its divisors is an integer number (20545997472).

Almost surely, 2^{23878868428800} is an apocalyptic number.

23878868428800 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 23878868428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59172472719360).

23878868428800 is an abundant number, since it is smaller than the sum of its proper divisors (94466077009920).

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

23878868428800 is a wasteful number, since it uses less digits than its factorization.

23878868428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 23878868428800 in words is "twenty-three trillion, eight hundred seventy-eight billion, eight hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".