10830728671911 has 36 divisors (see below), whose sum is σ = 16687735219584. Its totient is φ = 6767552793600.

The previous prime is 10830728671901. The next prime is 10830728671927. The reversal of 10830728671911 is 11917682703801.

10830728671911 is a `hidden beast` number, since 108 + 307 + 2 + 86 + 71 + 91 + 1 = 666.

It is not a de Polignac number, because 10830728671911 - 2⁵ = 10830728671879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830728671901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8012295 + ... + 9265976.

It is an arithmetic number, because the mean of its divisors is an integer number (463548200544).

Almost surely, 2^{10830728671911} is an apocalyptic number.

10830728671911 is a deficient number, since it is larger than the sum of its proper divisors (5857006547673).

10830728671911 is a wasteful number, since it uses less digits than its factorization.

10830728671911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278552 (or 17278532 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 10830728671911 in words is "ten trillion, eight hundred thirty billion, seven hundred twenty-eight million, six hundred seventy-one thousand, nine hundred eleven".