211404020200 has 216 divisors, whose sum is σ = 540877281750. Its totient is φ = 76825333760.

The previous prime is 211404020153. The next prime is 211404020203. The reversal of 211404020200 is 2020404112.

It can be written as a sum of positive squares in 27 ways, for example, as 54459689956 + 156944330244 = 233366^2 + 396162^2 .

It is not an unprimeable number, because it can be changed into a prime (211404020203) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 48607626 + ... + 48611974.

Almost surely, 2^211404020200 is an apocalyptic number.

211404020200 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 211404020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270438640875).

211404020200 is an abundant number, since it is smaller than the sum of its proper divisors (329473261550).

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

211404020200 is a wasteful number, since it uses less digits than its factorization.

211404020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 211404020200 its reverse (2020404112), we get a palindrome (213424424312).

The spelling of 211404020200 in words is "two hundred eleven billion, four hundred four million, twenty thousand, two hundred".