11169884160 has 288 divisors, whose sum is σ = 40756716000. Its totient is φ = 2821423104.

The previous prime is 11169884149. The next prime is 11169884227. The reversal of 11169884160 is 6148896111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1747851 + ... + 1754229.

It is an arithmetic number, because the mean of its divisors is an integer number (141516375).

Almost surely, 2^11169884160 is an apocalyptic number.

11169884160 is a gapful number since it is divisible by the number (10) 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 11169884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378358000).

11169884160 is an abundant number, since it is smaller than the sum of its proper divisors (29586831840).

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

11169884160 is a wasteful number, since it uses less digits than its factorization.

11169884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11169884160 in words is "eleven billion, one hundred sixty-nine million, eight hundred eighty-four thousand, one hundred sixty".