11175599664 has 120 divisors (see below), whose sum is σ = 32961692400. Its totient is φ = 3524912640.

The previous prime is 11175599653. The next prime is 11175599693. The reversal of 11175599664 is 46699557111.

11175599664 is a `hidden beast` number, since 11 + 17 + 559 + 9 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11175599664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2922874 + ... + 2926694.

It is an arithmetic number, because the mean of its divisors is an integer number (274680770).

Almost surely, 2^11175599664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11175599664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480846200).

11175599664 is an abundant number, since it is smaller than the sum of its proper divisors (21786092736).

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

11175599664 is a wasteful number, since it uses less digits than its factorization.

11175599664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 11175599664 in words is "eleven billion, one hundred seventy-five million, five hundred ninety-nine thousand, six hundred sixty-four".