205990838208 has 280 divisors, whose sum is σ = 636710131200. Its totient is φ = 65767790592.

The previous prime is 205990838167. The next prime is 205990838213. The reversal of 205990838208 is 802838099502.

205990838208 is a `hidden beast` number, since 20 + 599 + 0 + 8 + 3 + 8 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19087278 + ... + 19098066.

Almost surely, 2^205990838208 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 205990838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318355065600).

205990838208 is an abundant number, since it is smaller than the sum of its proper divisors (430719292992).

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

205990838208 is a wasteful number, since it uses less digits than its factorization.

205990838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10969 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 205990838208 in words is "two hundred five billion, nine hundred ninety million, eight hundred thirty-eight thousand, two hundred eight".