11264170086 has 72 divisors (see below), whose sum is σ = 26861155776. Its totient is φ = 3409024320.

The previous prime is 11264170079. The next prime is 11264170087. The reversal of 11264170086 is 68007146211.

It is a happy number.

11264170086 is a `hidden beast` number, since 1 + 1 + 2 + 641 + 7 + 0 + 0 + 8 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11264170086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264170087) 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, 155211 + ... + 215913.

It is an arithmetic number, because the mean of its divisors is an integer number (373071608).

Almost surely, 2^11264170086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264170086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430577888).

11264170086 is an abundant number, since it is smaller than the sum of its proper divisors (15596985690).

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

11264170086 is a wasteful number, since it uses less digits than its factorization.

11264170086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60798 (or 60782 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11264170086 in words is "eleven billion, two hundred sixty-four million, one hundred seventy thousand, eighty-six".