11688636096 has 112 divisors (see below), whose sum is σ = 34412001280. Its totient is φ = 3890592000.

The previous prime is 11688636061. The next prime is 11688636107. The reversal of 11688636096 is 69063688611.

11688636096 is a `hidden beast` number, since 116 + 8 + 86 + 360 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293225 + ... + 1302231.

Almost surely, 2^11688636096 is an apocalyptic number.

11688636096 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 11688636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206000640).

11688636096 is an abundant number, since it is smaller than the sum of its proper divisors (22723365184).

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

11688636096 is an equidigital number, since it uses as much as digits as its factorization.

11688636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11688636096 in words is "eleven billion, six hundred eighty-eight million, six hundred thirty-six thousand, ninety-six".