211144204320 has 192 divisors, whose sum is σ = 760366414080. Its totient is φ = 48245833728.

The previous prime is 211144204307. The next prime is 211144204361. The reversal of 211144204320 is 23402441112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12655504 + ... + 12672176.

It is an arithmetic number, because the mean of its divisors is an integer number (3960241740).

Almost surely, 2^211144204320 is an apocalyptic number.

211144204320 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 211144204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380183207040).

211144204320 is an abundant number, since it is smaller than the sum of its proper divisors (549222209760).

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

211144204320 is a wasteful number, since it uses less digits than its factorization.

211144204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467 (or 20459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211144204320 its reverse (23402441112), we get a palindrome (234546645432).

The spelling of 211144204320 in words is "two hundred eleven billion, one hundred forty-four million, two hundred four thousand, three hundred twenty".