204432215000 has 320 divisors, whose sum is σ = 533990318400. Its totient is φ = 72859392000.

The previous prime is 204432214969. The next prime is 204432215041. The reversal of 204432215000 is 512234402.

It is a happy number.

204432215000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 401634746 + ... + 401635254.

It is an arithmetic number, because the mean of its divisors is an integer number (1668719745).

Almost surely, 2^204432215000 is an apocalyptic number.

204432215000 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 204432215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266995159200).

204432215000 is an abundant number, since it is smaller than the sum of its proper divisors (329558103400).

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

204432215000 is a wasteful number, since it uses less digits than its factorization.

204432215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 204432215000 its reverse (512234402), we get a palindrome (204944449402).

The spelling of 204432215000 in words is "two hundred four billion, four hundred thirty-two million, two hundred fifteen thousand".