205828993062 has 192 divisors, whose sum is σ = 589208256000. Its totient is φ = 50307402240.

The previous prime is 205828993057. The next prime is 205828993099. The reversal of 205828993062 is 260399828502.

205828993062 is a `hidden beast` number, since 2 + 0 + 58 + 289 + 9 + 306 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3897538 + ... + 3949994.

It is an arithmetic number, because the mean of its divisors is an integer number (3068793000).

Almost surely, 2^205828993062 is an apocalyptic number.

205828993062 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205828993062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294604128000).

205828993062 is an abundant number, since it is smaller than the sum of its proper divisors (383379262938).

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

205828993062 is a wasteful number, since it uses less digits than its factorization.

205828993062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52651 (or 52648 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 205828993062 in words is "two hundred five billion, eight hundred twenty-eight million, nine hundred ninety-three thousand, sixty-two".