211686794261712 has 960 divisors, whose sum is σ = 805508069184000. Its totient is φ = 50205777592320.

The previous prime is 211686794261707. The next prime is 211686794261713. The reversal of 211686794261712 is 217162497686112.

It is a happy number.

211686794261712 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 8 + 6 + 7 + 9 + 4 + 2 + 617 + 1 + 2 = 666.

It is a super-2 number, since 2×211686794261712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211686794261712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211686794261713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2434005364 + ... + 2434092332.

It is an arithmetic number, because the mean of its divisors is an integer number (839070905400).

Almost surely, 2^{211686794261712} is an apocalyptic number.

211686794261712 is a gapful number since it is divisible by the number (22) 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 211686794261712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402754034592000).

211686794261712 is an abundant number, since it is smaller than the sum of its proper divisors (593821274922288).

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

211686794261712 is a wasteful number, since it uses less digits than its factorization.

211686794261712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87404 (or 87395 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 211686794261712 in words is "two hundred eleven trillion, six hundred eighty-six billion, seven hundred ninety-four million, two hundred sixty-one thousand, seven hundred twelve".