10727814217 has 16 divisors (see below), whose sum is σ = 11089664640. Its totient is φ = 10372940032.

The previous prime is 10727814199. The next prime is 10727814259. The reversal of 10727814217 is 71241872701.

It is a cyclic number.

It is not a de Polignac number, because 10727814217 - 2³¹ = 8580330569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10727814217.

It is not an unprimeable number, because it can be changed into a prime (10727814017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067028 + ... + 1077034.

It is an arithmetic number, because the mean of its divisors is an integer number (693104040).

Almost surely, 2^10727814217 is an apocalyptic number.

It is an amenable number.

10727814217 is a deficient number, since it is larger than the sum of its proper divisors (361850423).

10727814217 is a wasteful number, since it uses less digits than its factorization.

10727814217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352.

The product of its (nonzero) digits is 43904, while the sum is 40.

The spelling of 10727814217 in words is "ten billion, seven hundred twenty-seven million, eight hundred fourteen thousand, two hundred seventeen".