10867165311 has 48 divisors (see below), whose sum is σ = 15626047488. Its totient is φ = 6714964800.

The previous prime is 10867165297. The next prime is 10867165313. The reversal of 10867165311 is 11356176801.

It is not a de Polignac number, because 10867165311 - 2¹⁴ = 10867148927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10867165311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10867165313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17902770 + ... + 17903376.

It is an arithmetic number, because the mean of its divisors is an integer number (325542656).

Almost surely, 2^10867165311 is an apocalyptic number.

10867165311 is a deficient number, since it is larger than the sum of its proper divisors (4758882177).

10867165311 is a wasteful number, since it uses less digits than its factorization.

10867165311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10867165311 in words is "ten billion, eight hundred sixty-seven million, one hundred sixty-five thousand, three hundred eleven".