23826820800 has 336 divisors, whose sum is σ = 82930227840. Its totient is φ = 5972336640.

The previous prime is 23826820793. The next prime is 23826820807. The reversal of 23826820800 is 802862832.

It is an interprime number because it is at equal distance from previous prime (23826820793) and next prime (23826820807).

It is not an unprimeable number, because it can be changed into a prime (23826820807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12493447 + ... + 12495353.

Almost surely, 2^23826820800 is an apocalyptic number.

23826820800 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 23826820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41465113920).

23826820800 is an abundant number, since it is smaller than the sum of its proper divisors (59103407040).

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

23826820800 is a wasteful number, since it uses less digits than its factorization.

23826820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 23826820800 in words is "twenty-three billion, eight hundred twenty-six million, eight hundred twenty thousand, eight hundred".