211340445520 has 80 divisors (see below), whose sum is σ = 495731396160. Its totient is φ = 83788342272.

The previous prime is 211340445499. The next prime is 211340445539. The reversal of 211340445520 is 25544043112.

211340445520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372204 + ... + 4420276.

It is an arithmetic number, because the mean of its divisors is an integer number (6196642452).

Almost surely, 2^211340445520 is an apocalyptic number.

211340445520 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 211340445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247865698080).

211340445520 is an abundant number, since it is smaller than the sum of its proper divisors (284390950640).

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

211340445520 is a wasteful number, since it uses less digits than its factorization.

211340445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48572 (or 48566 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 211340445520 its reverse (25544043112), we get a palindrome (236884488632).

The spelling of 211340445520 in words is "two hundred eleven billion, three hundred forty million, four hundred forty-five thousand, five hundred twenty".