232102852800 has 1344 divisors, whose sum is σ = 986811506688. Its totient is φ = 46448640000.

The previous prime is 232102852771. The next prime is 232102852801. The reversal of 232102852800 is 8258201232.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (232102852801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825988660 + ... + 825988940.

It is an arithmetic number, because the mean of its divisors is an integer number (734234752).

Almost surely, 2^232102852800 is an apocalyptic number.

232102852800 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 232102852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493405753344).

232102852800 is an abundant number, since it is smaller than the sum of its proper divisors (754708653888).

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

232102852800 is a wasteful number, since it uses less digits than its factorization.

232102852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 232102852800 in words is "two hundred thirty-two billion, one hundred two million, eight hundred fifty-two thousand, eight hundred".