232053202105000 has 160 divisors (see below), whose sum is σ = 563613960175200. Its totient is φ = 89468546976000.

The previous prime is 232053202104991. The next prime is 232053202105007. The reversal of 232053202105000 is 501202350232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232053202105007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13933591 + ... + 25656409.

It is an arithmetic number, because the mean of its divisors is an integer number (3522587251095).

Almost surely, 2^{232053202105000} is an apocalyptic number.

232053202105000 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 232053202105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281806980087600).

232053202105000 is an abundant number, since it is smaller than the sum of its proper divisors (331560758070200).

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

232053202105000 is a wasteful number, since it uses less digits than its factorization.

232053202105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722989 (or 11722970 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 232053202105000 its reverse (501202350232), we get a palindrome (232554404455232).

The spelling of 232053202105000 in words is "two hundred thirty-two trillion, fifty-three billion, two hundred two million, one hundred five thousand".