211131444320 has 96 divisors (see below), whose sum is σ = 525690194400. Its totient is φ = 79910240256.

The previous prime is 211131444289. The next prime is 211131444323. The reversal of 211131444320 is 23444131112.

It is a self number, because there is not a number n which added to its sum of digits gives 211131444320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131444323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478272 + ... + 2562048.

It is an arithmetic number, because the mean of its divisors is an integer number (5475939525).

Almost surely, 2^211131444320 is an apocalyptic number.

211131444320 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 211131444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262845097200).

211131444320 is an abundant number, since it is smaller than the sum of its proper divisors (314558750080).

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

211131444320 is a wasteful number, since it uses less digits than its factorization.

211131444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84640 (or 84632 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 211131444320 its reverse (23444131112), we get a palindrome (234575575432).

The spelling of 211131444320 in words is "two hundred eleven billion, one hundred thirty-one million, four hundred forty-four thousand, three hundred twenty".