206505117000 has 384 divisors, whose sum is σ = 859064693760. Its totient is φ = 43570137600.

The previous prime is 206505116977. The next prime is 206505117001. The reversal of 206505117000 is 711505602.

206505117000 is a `hidden beast` number, since 2 + 0 + 650 + 5 + 1 + 1 + 7 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (206505117001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692929 + ... + 945071.

It is an arithmetic number, because the mean of its divisors is an integer number (2237147640).

Almost surely, 2^206505117000 is an apocalyptic number.

206505117000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206505117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429532346880).

206505117000 is an abundant number, since it is smaller than the sum of its proper divisors (652559576760).

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

206505117000 is a wasteful number, since it uses less digits than its factorization.

206505117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252190 (or 252173 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 206505117000 in words is "two hundred six billion, five hundred five million, one hundred seventeen thousand".