23281372800 has 576 divisors, whose sum is σ = 99088479360. Its totient is φ = 5089075200.

The previous prime is 23281372799. The next prime is 23281372817. The reversal of 23281372800 is 827318232.

It is a happy number.

23281372800 is a `hidden beast` number, since 2 + 3 + 281 + 372 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 4634290 + ... + 4639310.

It is an arithmetic number, because the mean of its divisors is an integer number (172028610).

Almost surely, 2^23281372800 is an apocalyptic number.

23281372800 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 23281372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49544239680).

23281372800 is an abundant number, since it is smaller than the sum of its proper divisors (75807106560).

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

23281372800 is a wasteful number, since it uses less digits than its factorization.

23281372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 23281372800 in words is "twenty-three billion, two hundred eighty-one million, three hundred seventy-two thousand, eight hundred".