211366113420 has 384 divisors, whose sum is σ = 759657185280. Its totient is φ = 42628654080.

The previous prime is 211366113407. The next prime is 211366113421. The reversal of 211366113420 is 24311663112.

211366113420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (211366113421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83246511 + ... + 83249049.

It is an arithmetic number, because the mean of its divisors is an integer number (1978273920).

Almost surely, 2^211366113420 is an apocalyptic number.

211366113420 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 211366113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379828592640).

211366113420 is an abundant number, since it is smaller than the sum of its proper divisors (548291071860).

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

211366113420 is a wasteful number, since it uses less digits than its factorization.

211366113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 211366113420 its reverse (24311663112), we get a palindrome (235677776532).

The spelling of 211366113420 in words is "two hundred eleven billion, three hundred sixty-six million, one hundred thirteen thousand, four hundred twenty".