211300514216660 has 144 divisors (see below), whose sum is σ = 496040760250560. Its totient is φ = 75528669427200.

The previous prime is 211300514216641. The next prime is 211300514216717. The reversal of 211300514216660 is 66612415003112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2267442587 + ... + 2267535773.

It is an arithmetic number, because the mean of its divisors is an integer number (3444727501740).

Almost surely, 2^{211300514216660} is an apocalyptic number.

211300514216660 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 211300514216660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248020380125280).

211300514216660 is an abundant number, since it is smaller than the sum of its proper divisors (284740246033900).

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

211300514216660 is a wasteful number, since it uses less digits than its factorization.

211300514216660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109158 (or 109145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

Adding to 211300514216660 its reverse (66612415003112), we get a palindrome (277912929219772).

The spelling of 211300514216660 in words is "two hundred eleven trillion, three hundred billion, five hundred fourteen million, two hundred sixteen thousand, six hundred sixty".