1135330560 has 864 divisors, whose sum is σ = 5233294080. Its totient is φ = 226934784.

The previous prime is 1135330517. The next prime is 1135330561. The reversal of 1135330560 is 650335311.

1135330560 is a `hidden beast` number, since 1 + 1 + 353 + 305 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135330561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59754231 + ... + 59754249.

Almost surely, 2^1135330560 is an apocalyptic number.

1135330560 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 1135330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616647040).

1135330560 is an abundant number, since it is smaller than the sum of its proper divisors (4097963520).

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

1135330560 is a wasteful number, since it uses less digits than its factorization.

1135330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1135330560 is about 33694.6666402860. Note that the first 4 decimals coincide. The cubic root of 1135330560 is about 1043.2156878467.

Adding to 1135330560 its reverse (650335311), we get a palindrome (1785665871).

The spelling of 1135330560 in words is "one billion, one hundred thirty-five million, three hundred thirty thousand, five hundred sixty".