211527382014 has 128 divisors (see below), whose sum is σ = 535629964800. Its totient is φ = 61339576320.

The previous prime is 211527382007. The next prime is 211527382039. The reversal of 211527382014 is 410283725112.

211527382014 is a `hidden beast` number, since 211 + 52 + 7 + 382 + 0 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 211527382014.

It is a congruent number.

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, 2533149 + ... + 2615319.

It is an arithmetic number, because the mean of its divisors is an integer number (4184609100).

Almost surely, 2^211527382014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211527382014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267814982400).

211527382014 is an abundant number, since it is smaller than the sum of its proper divisors (324102582786).

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

211527382014 is a wasteful number, since it uses less digits than its factorization.

211527382014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82407 (or 82401 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 211527382014 in words is "two hundred eleven billion, five hundred twenty-seven million, three hundred eighty-two thousand, fourteen".