206999711712 has 288 divisors, whose sum is σ = 614043061632. Its totient is φ = 66095834112.

The previous prime is 206999711689. The next prime is 206999711713. The reversal of 206999711712 is 217117999602.

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

It is a super-2 number, since 2×206999711712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206999711713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263023383 + ... + 263024169.

It is an arithmetic number, because the mean of its divisors is an integer number (2132093964).

Almost surely, 2^206999711712 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 206999711712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307021530816).

206999711712 is an abundant number, since it is smaller than the sum of its proper divisors (407043349920).

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

206999711712 is a wasteful number, since it uses less digits than its factorization.

206999711712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 206999711712 in words is "two hundred six billion, nine hundred ninety-nine million, seven hundred eleven thousand, seven hundred twelve".