206205809920 has 288 divisors, whose sum is σ = 559097118720. Its totient is φ = 72188928000.

The previous prime is 206205809917. The next prime is 206205809923. The reversal of 206205809920 is 29908502602.

It is an interprime number because it is at equal distance from previous prime (206205809917) and next prime (206205809923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206205809923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92096161 + ... + 92098399.

It is an arithmetic number, because the mean of its divisors is an integer number (1941309440).

Almost surely, 2^206205809920 is an apocalyptic number.

206205809920 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 206205809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279548559360).

206205809920 is an abundant number, since it is smaller than the sum of its proper divisors (352891308800).

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

206205809920 is a wasteful number, since it uses less digits than its factorization.

206205809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 206205809920 in words is "two hundred six billion, two hundred five million, eight hundred nine thousand, nine hundred twenty".