211161118080 has 512 divisors, whose sum is σ = 780355814400. Its totient is φ = 47999877120.

The previous prime is 211161118079. The next prime is 211161118081. The reversal of 211161118080 is 80811161112.

It is an interprime number because it is at equal distance from previous prime (211161118079) and next prime (211161118081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211161118081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112378581 + ... + 112380459.

It is an arithmetic number, because the mean of its divisors is an integer number (1524132450).

Almost surely, 2^211161118080 is an apocalyptic number.

211161118080 is a gapful number since it is divisible by the number (20) 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 211161118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390177907200).

211161118080 is an abundant number, since it is smaller than the sum of its proper divisors (569194696320).

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

211161118080 is a wasteful number, since it uses less digits than its factorization.

211161118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 30.

Adding to 211161118080 its reverse (80811161112), we get a palindrome (291972279192).

The spelling of 211161118080 in words is "two hundred eleven billion, one hundred sixty-one million, one hundred eighteen thousand, eighty".