11809116288 has 48 divisors (see below), whose sum is σ = 33981965550. Its totient is φ = 3936371712.

The previous prime is 11809116287. The next prime is 11809116313. The reversal of 11809116288 is 88261190811.

11809116288 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 9 + 11 + 628 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11524451904 + 284664384 = 107352^2 + 16872^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11809116287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5124333 + ... + 5126636.

Almost surely, 2^11809116288 is an apocalyptic number.

11809116288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11809116288 is an abundant number, since it is smaller than the sum of its proper divisors (22172849262).

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

11809116288 is a wasteful number, since it uses less digits than its factorization.

11809116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250989 (or 10250974 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 11809116288 in words is "eleven billion, eight hundred nine million, one hundred sixteen thousand, two hundred eighty-eight".