23123818888800 has 1152 divisors, whose sum is σ = 89681510016000. Its totient is φ = 5171287080960.

The previous prime is 23123818888759. The next prime is 23123818888897. The reversal of 23123818888800 is 888881832132.

It is a super-2 number, since 2×23123818888800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 26919462771 + ... + 26919463629.

It is an arithmetic number, because the mean of its divisors is an integer number (77848533000).

Almost surely, 2^{23123818888800} is an apocalyptic number.

23123818888800 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 23123818888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44840755008000).

23123818888800 is an abundant number, since it is smaller than the sum of its proper divisors (66557691127200).

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

23123818888800 is a wasteful number, since it uses less digits than its factorization.

23123818888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 60.

The spelling of 23123818888800 in words is "twenty-three trillion, one hundred twenty-three billion, eight hundred eighteen million, eight hundred eighty-eight thousand, eight hundred".