1109553120 has 384 divisors, whose sum is σ = 4369075200. Its totient is φ = 260941824.

The previous prime is 1109553119. The next prime is 1109553163. The reversal of 1109553120 is 213559011.

1109553120 is a `hidden beast` number, since 1 + 109 + 5 + 531 + 20 = 666.

It is a super-2 number, since 2×1109553120² = 2462216252203468800, which contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1291251 + ... + 1292109.

It is an arithmetic number, because the mean of its divisors is an integer number (11377800).

Almost surely, 2^1109553120 is an apocalyptic number.

1109553120 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 1109553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184537600).

1109553120 is an abundant number, since it is smaller than the sum of its proper divisors (3259522080).

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

1109553120 is a wasteful number, since it uses less digits than its factorization.

1109553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1109553120 is about 33309.9552686580. The cubic root of 1109553120 is about 1035.2598381435.

The spelling of 1109553120 in words is "one billion, one hundred nine million, five hundred fifty-three thousand, one hundred twenty".