206355218510200 has 48 divisors (see below), whose sum is σ = 484433901366480. Its totient is φ = 81740707906560.

The previous prime is 206355218510183. The next prime is 206355218510279. The reversal of 206355218510200 is 2015812553602.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5008601209 + ... + 5008642408.

It is an arithmetic number, because the mean of its divisors is an integer number (10092372945135).

Almost surely, 2^{206355218510200} is an apocalyptic number.

206355218510200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206355218510200 is an abundant number, since it is smaller than the sum of its proper divisors (278078682856280).

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

206355218510200 is a wasteful number, since it uses less digits than its factorization.

206355218510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017243736 (or 10017243727 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 206355218510200 in words is "two hundred six trillion, three hundred fifty-five billion, two hundred eighteen million, five hundred ten thousand, two hundred".