206087913696 has 192 divisors, whose sum is σ = 645902401536. Its totient is φ = 56295820800.

The previous prime is 206087913683. The next prime is 206087913709. The reversal of 206087913696 is 696319780602.

It is a happy number.

206087913696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206087913683) and next prime (206087913709).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1669461 + ... + 1788651.

It is an arithmetic number, because the mean of its divisors is an integer number (3364075008).

Almost surely, 2^206087913696 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 206087913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322951200768).

206087913696 is an abundant number, since it is smaller than the sum of its proper divisors (439814487840).

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

206087913696 is a wasteful number, since it uses less digits than its factorization.

206087913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119325 (or 119317 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 206087913696 in words is "two hundred six billion, eighty-seven million, nine hundred thirteen thousand, six hundred ninety-six".