211681766568 has 64 divisors (see below), whose sum is σ = 538337548800. Its totient is φ = 69343565760.

The previous prime is 211681766567. The next prime is 211681766579. The reversal of 211681766568 is 865667186112.

211681766568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (211681766567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035605 + ... + 5077467.

It is an arithmetic number, because the mean of its divisors is an integer number (8411524200).

Almost surely, 2^211681766568 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 211681766568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269168774400).

211681766568 is an abundant number, since it is smaller than the sum of its proper divisors (326655782232).

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

211681766568 is a wasteful number, since it uses less digits than its factorization.

211681766568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45502 (or 45498 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 211681766568 in words is "two hundred eleven billion, six hundred eighty-one million, seven hundred sixty-six thousand, five hundred sixty-eight".