11565166608 has 160 divisors (see below), whose sum is σ = 33622609920. Its totient is φ = 3805885440.

The previous prime is 11565166603. The next prime is 11565166633. The reversal of 11565166608 is 80666156511.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11565166603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15196948 + ... + 15197708.

It is an arithmetic number, because the mean of its divisors is an integer number (210141312).

Almost surely, 2^11565166608 is an apocalyptic number.

11565166608 is a gapful number since it is divisible by the number (18) 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 11565166608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811304960).

11565166608 is an abundant number, since it is smaller than the sum of its proper divisors (22057443312).

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

11565166608 is a wasteful number, since it uses less digits than its factorization.

11565166608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11565166608 in words is "eleven billion, five hundred sixty-five million, one hundred sixty-six thousand, six hundred eight".