23256193800 has 1152 divisors, whose sum is σ = 97708032000. Its totient is φ = 4528742400.

The previous prime is 23256193787. The next prime is 23256193801. The reversal of 23256193800 is 839165232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23256193801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 294382161 + ... + 294382239.

It is an arithmetic number, because the mean of its divisors is an integer number (84816000).

Almost surely, 2^23256193800 is an apocalyptic number.

23256193800 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 23256193800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016000).

23256193800 is an abundant number, since it is smaller than the sum of its proper divisors (74451838200).

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

23256193800 is a wasteful number, since it uses less digits than its factorization.

23256193800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 23256193800 in words is "twenty-three billion, two hundred fifty-six million, one hundred ninety-three thousand, eight hundred".