1159109120 has 160 divisors (see below), whose sum is σ = 3098707920. Its totient is φ = 412876800.

The previous prime is 1159109089. The next prime is 1159109123. The reversal of 1159109120 is 219019511.

It can be written as a sum of positive squares in 8 ways, for example, as 29073664 + 1130035456 = 5392^2 + 33616^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1159109123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964520 + ... + 965720.

Almost surely, 2^1159109120 is an apocalyptic number.

1159109120 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 1159109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549353960).

1159109120 is an abundant number, since it is smaller than the sum of its proper divisors (1939598800).

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

1159109120 is a wasteful number, since it uses less digits than its factorization.

1159109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 29.

The square root of 1159109120 is about 34045.6916510739. The cubic root of 1159109120 is about 1050.4485219103.

The spelling of 1159109120 in words is "one billion, one hundred fifty-nine million, one hundred nine thousand, one hundred twenty".