23431032313200 has 480 divisors, whose sum is σ = 86124571216320. Its totient is φ = 6045796454400.

The previous prime is 23431032313187. The next prime is 23431032313217. The reversal of 23431032313200 is 231323013432.

23431032313200 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 10 + 323 + 1 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72165622 + ... + 72489578.

It is an arithmetic number, because the mean of its divisors is an integer number (179426190034).

Almost surely, 2^{23431032313200} is an apocalyptic number.

23431032313200 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 23431032313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43062285608160).

23431032313200 is an abundant number, since it is smaller than the sum of its proper divisors (62693538903120).

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

23431032313200 is a wasteful number, since it uses less digits than its factorization.

23431032313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324202 (or 324185 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23431032313200 its reverse (231323013432), we get a palindrome (23662355326632).

The spelling of 23431032313200 in words is "twenty-three trillion, four hundred thirty-one billion, thirty-two million, three hundred thirteen thousand, two hundred".