23305088400 has 480 divisors, whose sum is σ = 87761287680. Its totient is φ = 5225472000.

The previous prime is 23305088383. The next prime is 23305088407. The reversal of 23305088400 is 488050332.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (23305088407) 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, 10783320 + ... + 10785480.

It is an arithmetic number, because the mean of its divisors is an integer number (182836016).

Almost surely, 2^23305088400 is an apocalyptic number.

23305088400 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 23305088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43880643840).

23305088400 is an abundant number, since it is smaller than the sum of its proper divisors (64456199280).

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

23305088400 is a wasteful number, since it uses less digits than its factorization.

23305088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 23305088400 in words is "twenty-three billion, three hundred five million, eighty-eight thousand, four hundred".