1150115600 has 120 divisors (see below), whose sum is σ = 2980330080. Its totient is φ = 425088000.

The previous prime is 1150115597. The next prime is 1150115609. The reversal of 1150115600 is 65110511.

1150115600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1150115609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 309755 + ... + 313445.

It is an arithmetic number, because the mean of its divisors is an integer number (24836084).

Almost surely, 2^1150115600 is an apocalyptic number.

1150115600 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 1150115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490165040).

1150115600 is an abundant number, since it is smaller than the sum of its proper divisors (1830214480).

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

1150115600 is a wasteful number, since it uses less digits than its factorization.

1150115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 1150115600 is about 33913.3543018086. The cubic root of 1150115600 is about 1047.7246571874.

The spelling of 1150115600 in words is "one billion, one hundred fifty million, one hundred fifteen thousand, six hundred".