1109188080 has 1120 divisors, whose sum is σ = 5464650240. Its totient is φ = 201553920.

The previous prime is 1109188079. The next prime is 1109188121. The reversal of 1109188080 is 808819011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 58378311 + ... + 58378329.

It is an arithmetic number, because the mean of its divisors is an integer number (4879152).

Almost surely, 2^1109188080 is an apocalyptic number.

1109188080 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 1109188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732325120).

1109188080 is an abundant number, since it is smaller than the sum of its proper divisors (4355462160).

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

1109188080 is a wasteful number, since it uses less digits than its factorization.

1109188080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 1109188080 is about 33304.4753749402. The cubic root of 1109188080 is about 1035.1462931207.

The spelling of 1109188080 in words is "one billion, one hundred nine million, one hundred eighty-eight thousand, eighty".