211118179272 has 256 divisors, whose sum is σ = 715280025600. Its totient is φ = 50144071680.

The previous prime is 211118179271. The next prime is 211118179291. The reversal of 211118179272 is 272971811112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (211118179271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2529504 + ... + 2611632.

It is an arithmetic number, because the mean of its divisors is an integer number (2794062600).

Almost surely, 2^211118179272 is an apocalyptic number.

211118179272 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 211118179272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357640012800).

211118179272 is an abundant number, since it is smaller than the sum of its proper divisors (504161846328).

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

211118179272 is a wasteful number, since it uses less digits than its factorization.

211118179272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82276 (or 82272 counting only the distinct ones).

The product of its digits is 28224, while the sum is 42.

The spelling of 211118179272 in words is "two hundred eleven billion, one hundred eighteen million, one hundred seventy-nine thousand, two hundred seventy-two".