206066515968 has 256 divisors, whose sum is σ = 617654268000. Its totient is φ = 67891101696.

The previous prime is 206066515933. The next prime is 206066515981. The reversal of 206066515968 is 869515660602.

206066515968 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 66 + 515 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 15 ways as a sum of consecutive naturals, for example, 78740196 + ... + 78742812.

Almost surely, 2^206066515968 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 206066515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308827134000).

206066515968 is an abundant number, since it is smaller than the sum of its proper divisors (411587752032).

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

206066515968 is an frugal number, since it uses more digits than its factorization.

206066515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 206066515968 in words is "two hundred six billion, sixty-six million, five hundred fifteen thousand, nine hundred sixty-eight".