204234132320 has 96 divisors (see below), whose sum is σ = 490714586208. Its totient is φ = 80310693888.

The previous prime is 204234132307. The next prime is 204234132353. The reversal of 204234132320 is 23231432402.

204234132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204234132320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3557282 + ... + 3614238.

It is an arithmetic number, because the mean of its divisors is an integer number (5111610273).

Almost surely, 2^204234132320 is an apocalyptic number.

204234132320 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 204234132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245357293104).

204234132320 is an abundant number, since it is smaller than the sum of its proper divisors (286480453888).

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

204234132320 is a wasteful number, since it uses less digits than its factorization.

204234132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57352 (or 57344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 204234132320 its reverse (23231432402), we get a palindrome (227465564722).

The spelling of 204234132320 in words is "two hundred four billion, two hundred thirty-four million, one hundred thirty-two thousand, three hundred twenty".