23312102400 has 528 divisors, whose sum is σ = 88636737600. Its totient is φ = 5997035520.

The previous prime is 23312102381. The next prime is 23312102419. The reversal of 23312102400 is 420121332.

23312102400 is a `hidden beast` number, since 23 + 31 + 210 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (23312102381) and next prime (23312102419).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044219 + ... + 20045381.

Almost surely, 2^23312102400 is an apocalyptic number.

23312102400 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 23312102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318368800).

23312102400 is an abundant number, since it is smaller than the sum of its proper divisors (65324635200).

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

23312102400 is a wasteful number, since it uses less digits than its factorization.

23312102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23312102400 its reverse (420121332), we get a palindrome (23732223732).

The spelling of 23312102400 in words is "twenty-three billion, three hundred twelve million, one hundred two thousand, four hundred".