206084628600 has 384 divisors, whose sum is σ = 683243769600. Its totient is φ = 51237273600.

The previous prime is 206084628577. The next prime is 206084628649. The reversal of 206084628600 is 6826480602.

206084628600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251016190 + ... + 251017010.

It is an arithmetic number, because the mean of its divisors is an integer number (1779280650).

Almost surely, 2^206084628600 is an apocalyptic number.

206084628600 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 206084628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341621884800).

206084628600 is an abundant number, since it is smaller than the sum of its proper divisors (477159141000).

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

206084628600 is a wasteful number, since it uses less digits than its factorization.

206084628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 206084628600 in words is "two hundred six billion, eighty-four million, six hundred twenty-eight thousand, six hundred".