211268712836160 has 448 divisors, whose sum is σ = 852080630039040. Its totient is φ = 48273049681920.

The previous prime is 211268712836149. The next prime is 211268712836171. The reversal of 211268712836160 is 61638217862112.

It is a happy number.

211268712836160 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 6 + 8 + 7 + 12 + 8 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211268712836149) and next prime (211268712836171).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 211268712836097 and 211268712836106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172180020 + ... + 173402700.

Almost surely, 2^{211268712836160} is an apocalyptic number.

211268712836160 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 211268712836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426040315019520).

211268712836160 is an abundant number, since it is smaller than the sum of its proper divisors (640811917202880).

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

211268712836160 is a wasteful number, since it uses less digits than its factorization.

211268712836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225571 (or 1225555 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 211268712836160 in words is "two hundred eleven trillion, two hundred sixty-eight billion, seven hundred twelve million, eight hundred thirty-six thousand, one hundred sixty".