211196317389200 has 480 divisors, whose sum is σ = 632147732455680. Its totient is φ = 66617686425600.

The previous prime is 211196317389137. The next prime is 211196317389209. The reversal of 211196317389200 is 2983713691112.

It is not an unprimeable number, because it can be changed into a prime (211196317389209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628974956 + ... + 629310644.

It is an arithmetic number, because the mean of its divisors is an integer number (1316974442616).

Almost surely, 2^{211196317389200} is an apocalyptic number.

211196317389200 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 211196317389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316073866227840).

211196317389200 is an abundant number, since it is smaller than the sum of its proper divisors (420951415066480).

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

211196317389200 is a wasteful number, since it uses less digits than its factorization.

211196317389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336395 (or 336384 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The spelling of 211196317389200 in words is "two hundred eleven trillion, one hundred ninety-six billion, three hundred seventeen million, three hundred eighty-nine thousand, two hundred".