211116006080 has 448 divisors, whose sum is σ = 615091276800. Its totient is φ = 68911718400.

The previous prime is 211116006077. The next prime is 211116006089. The reversal of 211116006080 is 80600611112.

211116006080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (211116006089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193506335 + ... + 193507425.

It is an arithmetic number, because the mean of its divisors is an integer number (1372971600).

Almost surely, 2^211116006080 is an apocalyptic number.

211116006080 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 211116006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307545638400).

211116006080 is an abundant number, since it is smaller than the sum of its proper divisors (403975270720).

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

211116006080 is a wasteful number, since it uses less digits than its factorization.

211116006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 211116006080 its reverse (80600611112), we get a palindrome (291716617192).

The spelling of 211116006080 in words is "two hundred eleven billion, one hundred sixteen million, six thousand, eighty".