206091950688 has 288 divisors, whose sum is σ = 644780144736. Its totient is φ = 62056710144.

The previous prime is 206091950653. The next prime is 206091950747. The reversal of 206091950688 is 886059190602.

It is a happy number.

206091950688 is a `hidden beast` number, since 20 + 609 + 1 + 9 + 5 + 0 + 6 + 8 + 8 = 666.

206091950688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39380520 + ... + 39385752.

It is an arithmetic number, because the mean of its divisors is an integer number (2238819947).

Almost surely, 2^206091950688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206091950688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322390072368).

206091950688 is an abundant number, since it is smaller than the sum of its proper divisors (438688194048).

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

206091950688 is a wasteful number, since it uses less digits than its factorization.

206091950688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 206091950688 in words is "two hundred six billion, ninety-one million, nine hundred fifty thousand, six hundred eighty-eight".