23255680800 has 576 divisors, whose sum is σ = 88284349440. Its totient is φ = 5257728000.

The previous prime is 23255680759. The next prime is 23255680801. The reversal of 23255680800 is 808655232.

It is not an unprimeable number, because it can be changed into a prime (23255680801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35613274 + ... + 35613926.

It is an arithmetic number, because the mean of its divisors is an integer number (153271440).

Almost surely, 2^23255680800 is an apocalyptic number.

23255680800 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 23255680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44142174720).

23255680800 is an abundant number, since it is smaller than the sum of its proper divisors (65028668640).

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

23255680800 is a wasteful number, since it uses less digits than its factorization.

23255680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 23255680800 in words is "twenty-three billion, two hundred fifty-five million, six hundred eighty thousand, eight hundred".