204258700032 has 144 divisors (see below), whose sum is σ = 552687608928. Its totient is φ = 66956820480.

The previous prime is 204258700003. The next prime is 204258700039. The reversal of 204258700032 is 230007852402.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204258699966 and 204258700002.

It is not an unprimeable number, because it can be changed into a prime (204258700039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19785432 + ... + 19795752.

Almost surely, 2^204258700032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204258700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276343804464).

204258700032 is an abundant number, since it is smaller than the sum of its proper divisors (348428908896).

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

204258700032 is a wasteful number, since it uses less digits than its factorization.

204258700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 204258700032 in words is "two hundred four billion, two hundred fifty-eight million, seven hundred thousand, thirty-two".