211605506112 has 448 divisors, whose sum is σ = 762983553024. Its totient is φ = 49974312960.

The previous prime is 211605506089. The next prime is 211605506149.

211605506112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 211605506112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12868648 + ... + 12885080.

It is an arithmetic number, because the mean of its divisors is an integer number (1703088288).

Almost surely, 2^211605506112 is an apocalyptic number.

211605506112 is a gapful number since it is divisible by the number (22) 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 211605506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381491776512).

211605506112 is an abundant number, since it is smaller than the sum of its proper divisors (551378046912).

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

211605506112 is a wasteful number, since it uses less digits than its factorization.

211605506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16546 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 211605 and 506112, that added together give a palindrome (717717).

The spelling of 211605506112 in words is "two hundred eleven billion, six hundred five million, five hundred six thousand, one hundred twelve".