23255020800 has 972 divisors, whose sum is σ = 97108118016. Its totient is φ = 5264179200.

The previous prime is 23255020793. The next prime is 23255020807. The reversal of 23255020800 is 802055232.

23255020800 is a `hidden beast` number, since 2 + 32 + 550 + 2 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23255020793) and next prime (23255020807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23255020807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 183110337 + ... + 183110463.

Almost surely, 2^23255020800 is an apocalyptic number.

23255020800 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 23255020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48554059008).

23255020800 is an abundant number, since it is smaller than the sum of its proper divisors (73853097216).

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

23255020800 is a wasteful number, since it uses less digits than its factorization.

23255020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 23255020800 in words is "twenty-three billion, two hundred fifty-five million, twenty thousand, eight hundred".