11695811616 has 144 divisors (see below), whose sum is σ = 34810776000. Its totient is φ = 3862556928.

The previous prime is 11695811597. The next prime is 11695811639. The reversal of 11695811616 is 61611859611.

11695811616 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 581 + 1 + 61 + 6 = 666.

11695811616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840685 + ... + 854483.

It is an arithmetic number, because the mean of its divisors is an integer number (241741500).

Almost surely, 2^11695811616 is an apocalyptic number.

11695811616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11695811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405388000).

11695811616 is an abundant number, since it is smaller than the sum of its proper divisors (23114964384).

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

11695811616 is a wasteful number, since it uses less digits than its factorization.

11695811616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13913 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 11695811616 in words is "eleven billion, six hundred ninety-five million, eight hundred eleven thousand, six hundred sixteen".