23038764800 has 108 divisors (see below), whose sum is σ = 57137473176. Its totient is φ = 9197260800.

The previous prime is 23038764779. The next prime is 23038764817. The reversal of 23038764800 is 846783032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3497510 + ... + 3504090.

Almost surely, 2^23038764800 is an apocalyptic number.

23038764800 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 23038764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28568736588).

23038764800 is an abundant number, since it is smaller than the sum of its proper divisors (34098708376).

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

23038764800 is an equidigital number, since it uses as much as digits as its factorization.

23038764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 23038764800 in words is "twenty-three billion, thirty-eight million, seven hundred sixty-four thousand, eight hundred".