211585066812 has 384 divisors, whose sum is σ = 675843840000. Its totient is φ = 57062154240.

The previous prime is 211585066739. The next prime is 211585066841. The reversal of 211585066812 is 218660585112.

211585066812 is a `hidden beast` number, since 2 + 1 + 1 + 585 + 0 + 6 + 68 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366698268 + ... + 366698844.

It is an arithmetic number, because the mean of its divisors is an integer number (1760010000).

Almost surely, 2^211585066812 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 211585066812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337921920000).

211585066812 is an abundant number, since it is smaller than the sum of its proper divisors (464258773188).

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

211585066812 is a wasteful number, since it uses less digits than its factorization.

211585066812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 211585066812 in words is "two hundred eleven billion, five hundred eighty-five million, sixty-six thousand, eight hundred twelve".