206680957956 has 288 divisors, whose sum is σ = 600561561600. Its totient is φ = 59357664000.

The previous prime is 206680957943. The next prime is 206680957957. The reversal of 206680957956 is 659759086602.

206680957956 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 8 + 0 + 9 + 579 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 206680957893 and 206680957902.

It is not an unprimeable number, because it can be changed into a prime (206680957957) 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 95 ways as a sum of consecutive naturals, for example, 333894615 + ... + 333895233.

It is an arithmetic number, because the mean of its divisors is an integer number (2085283200).

Almost surely, 2^206680957956 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 206680957956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300280780800).

206680957956 is an abundant number, since it is smaller than the sum of its proper divisors (393880603644).

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

206680957956 is a wasteful number, since it uses less digits than its factorization.

206680957956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 206680957956 in words is "two hundred six billion, six hundred eighty million, nine hundred fifty-seven thousand, nine hundred fifty-six".