1135056000 has 512 divisors, whose sum is σ = 4330609920. Its totient is φ = 260505600.

The previous prime is 1135055939. The next prime is 1135056007. The reversal of 1135056000 is 6505311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1135056007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10607947 + ... + 10608053.

Almost surely, 2^1135056000 is an apocalyptic number.

1135056000 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 1135056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

1135056000 is an abundant number, since it is smaller than the sum of its proper divisors (3195553920).

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

1135056000 is a wasteful number, since it uses less digits than its factorization.

1135056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1135056000 is about 33690.5921586427. The cubic root of 1135056000 is about 1043.1315865281.

The spelling of 1135056000 in words is "one billion, one hundred thirty-five million, fifty-six thousand".