211500565641216 has 480 divisors, whose sum is σ = 635519786101200. Its totient is φ = 70368654458880.

The previous prime is 211500565641203. The next prime is 211500565641247. The reversal of 211500565641216 is 612146565005112.

211500565641216 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 0 + 0 + 565 + 64 + 1 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 22936831486 + ... + 22936840706.

Almost surely, 2^{211500565641216} 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 211500565641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317759893050600).

211500565641216 is an abundant number, since it is smaller than the sum of its proper divisors (424019220459984).

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

211500565641216 is an frugal number, since it uses more digits than its factorization.

211500565641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 211500565641216 in words is "two hundred eleven trillion, five hundred billion, five hundred sixty-five million, six hundred forty-one thousand, two hundred sixteen".