204123532320 has 72 divisors (see below), whose sum is σ = 696571558956. Its totient is φ = 54432941568.

The previous prime is 204123532279. The next prime is 204123532321. The reversal of 204123532320 is 23235321402.

204123532320 is a `hidden beast` number, since 2 + 0 + 4 + 123 + 532 + 3 + 2 + 0 = 666.

204123532320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181670307984 + 22453224336 = 426228^2 + 149844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (204123532321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70874787 + ... + 70877666.

Almost surely, 2^204123532320 is an apocalyptic number.

204123532320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204123532320 is an abundant number, since it is smaller than the sum of its proper divisors (492448026636).

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

204123532320 is a wasteful number, since it uses less digits than its factorization.

204123532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141752474 (or 141752463 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 204123532320 its reverse (23235321402), we get a palindrome (227358853722).

The spelling of 204123532320 in words is "two hundred four billion, one hundred twenty-three million, five hundred thirty-two thousand, three hundred twenty".