1109556000 has 864 divisors, whose sum is σ = 4981262832. Its totient is φ = 232243200.

The previous prime is 1109555959. The next prime is 1109556001. The reversal of 1109556000 is 6559011.

1109556000 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 55 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 308213136 + 801342864 = 17556^2 + 28308^2 .

It is a super-2 number, since 2×1109556000² = 2462229034272000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109556001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29987982 + ... + 29988018.

Almost surely, 2^1109556000 is an apocalyptic number.

1109556000 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 1109556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490631416).

1109556000 is an abundant number, since it is smaller than the sum of its proper divisors (3871706832).

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

1109556000 is a wasteful number, since it uses less digits than its factorization.

1109556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

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

The square root of 1109556000 is about 33309.9984989492. The cubic root of 1109556000 is about 1035.2607338632.

The spelling of 1109556000 in words is "one billion, one hundred nine million, five hundred fifty-six thousand".