1116110880 has 384 divisors, whose sum is σ = 4180377600. Its totient is φ = 277466112.

The previous prime is 1116110869. The next prime is 1116110893. The reversal of 1116110880 is 880116111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4669801 + ... + 4670039.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1116110880 is an apocalyptic number.

1116110880 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 1116110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800).

1116110880 is an abundant number, since it is smaller than the sum of its proper divisors (3064266720).

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

1116110880 is a wasteful number, since it uses less digits than its factorization.

1116110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The square root of 1116110880 is about 33408.2456887518. The cubic root of 1116110880 is about 1037.2953886916.

Adding to 1116110880 its reverse (880116111), we get a palindrome (1996226991).

The spelling of 1116110880 in words is "one billion, one hundred sixteen million, one hundred ten thousand, eight hundred eighty".