211210022016 has 320 divisors, whose sum is σ = 724969080000. Its totient is φ = 59789850624.

The previous prime is 211210021999. The next prime is 211210022017. The reversal of 211210022016 is 610220012112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 211210022016.

It is not an unprimeable number, because it can be changed into a prime (211210022017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7897435 + ... + 7924133.

It is an arithmetic number, because the mean of its divisors is an integer number (2265528375).

Almost surely, 2^211210022016 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 211210022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362484540000).

211210022016 is an abundant number, since it is smaller than the sum of its proper divisors (513759057984).

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

211210022016 is a wasteful number, since it uses less digits than its factorization.

211210022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26841 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211210022016 its reverse (610220012112), we get a palindrome (821430034128).

The spelling of 211210022016 in words is "two hundred eleven billion, two hundred ten million, twenty-two thousand, sixteen".