211065623980416 has 256 divisors, whose sum is σ = 624131972044800. Its totient is φ = 70220348098560.

The previous prime is 211065623980399. The next prime is 211065623980417. The reversal of 211065623980416 is 614089326560112.

211065623980416 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 6 + 5 + 623 + 9 + 8 + 0 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211065623980417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3846130770 + ... + 3846185646.

It is an arithmetic number, because the mean of its divisors is an integer number (2438015515800).

Almost surely, 2^{211065623980416} 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 211065623980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312065986022400).

211065623980416 is an abundant number, since it is smaller than the sum of its proper divisors (413066348064384).

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

211065623980416 is a wasteful number, since it uses less digits than its factorization.

211065623980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57014 (or 56996 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 211065623980416 in words is "two hundred eleven trillion, sixty-five billion, six hundred twenty-three million, nine hundred eighty thousand, four hundred sixteen".