204893608128 has 448 divisors, whose sum is σ = 681937574400. Its totient is φ = 53446901760.

The previous prime is 204893608069. The next prime is 204893608151. The reversal of 204893608128 is 821806398402.

204893608128 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19777926 + ... + 19788282.

Almost surely, 2^204893608128 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 204893608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340968787200).

204893608128 is an abundant number, since it is smaller than the sum of its proper divisors (477043966272).

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

204893608128 is a wasteful number, since it uses less digits than its factorization.

204893608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10448 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 204893608128 in words is "two hundred four billion, eight hundred ninety-three million, six hundred eight thousand, one hundred twenty-eight".