211679079168 has 144 divisors (see below), whose sum is σ = 583471818720. Its totient is φ = 68048289792.

The previous prime is 211679079119. The next prime is 211679079191. The reversal of 211679079168 is 861970976112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21220230 + ... + 21230202.

It is an arithmetic number, because the mean of its divisors is an integer number (4051887630).

Almost surely, 2^211679079168 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 211679079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291735909360).

211679079168 is an abundant number, since it is smaller than the sum of its proper divisors (371792739552).

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

211679079168 is an equidigital number, since it uses as much as digits as its factorization.

211679079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The spelling of 211679079168 in words is "two hundred eleven billion, six hundred seventy-nine million, seventy-nine thousand, one hundred sixty-eight".