206308820000 has 120 divisors (see below), whose sum is σ = 508360082076. Its totient is φ = 82391936000.

The previous prime is 206308819943. The next prime is 206308820021. The reversal of 206308820000 is 28803602.

206308820000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 18726280336 + 187582539664 = 136844^2 + 433108^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 13052102 + ... + 13067898.

Almost surely, 2^206308820000 is an apocalyptic number.

206308820000 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 206308820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254180041038).

206308820000 is an abundant number, since it is smaller than the sum of its proper divisors (302051262076).

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

206308820000 is an equidigital number, since it uses as much as digits as its factorization.

206308820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16480 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 206308820000 in words is "two hundred six billion, three hundred eight million, eight hundred twenty thousand".