232506420489600 has 384 divisors, whose sum is σ = 783005159462400. Its totient is φ = 60613230305280.

The previous prime is 232506420489589. The next prime is 232506420489613. The reversal of 232506420489600 is 6984024605232.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395408611 + ... + 395996189.

It is an arithmetic number, because the mean of its divisors is an integer number (2039075936100).

Almost surely, 2^{232506420489600} is an apocalyptic number.

232506420489600 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 232506420489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391502579731200).

232506420489600 is an abundant number, since it is smaller than the sum of its proper divisors (550498738972800).

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

232506420489600 is a wasteful number, since it uses less digits than its factorization.

232506420489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588530 (or 588513 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 232506420489600 in words is "two hundred thirty-two trillion, five hundred six billion, four hundred twenty million, four hundred eighty-nine thousand, six hundred".