206917866740200 has 384 divisors, whose sum is σ = 603147040404480. Its totient is φ = 64133914060800.

The previous prime is 206917866740171. The next prime is 206917866740251. The reversal of 206917866740200 is 2047668719602.

It is a happy 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, 2995866067 + ... + 2995935133.

It is an arithmetic number, because the mean of its divisors is an integer number (1570695417720).

Almost surely, 2^{206917866740200} is an apocalyptic number.

206917866740200 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 206917866740200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301573520202240).

206917866740200 is an abundant number, since it is smaller than the sum of its proper divisors (396229173664280).

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

206917866740200 is a wasteful number, since it uses less digits than its factorization.

206917866740200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70185 (or 70176 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 206917866740200 in words is "two hundred six trillion, nine hundred seventeen billion, eight hundred sixty-six million, seven hundred forty thousand, two hundred".