1080115200 has 270 divisors, whose sum is σ = 3882299694. Its totient is φ = 287047680.

The previous prime is 1080115199. The next prime is 1080115277. The reversal of 1080115200 is 25110801.

It can be written as a sum of positive squares in 3 ways, for example, as 272646144 + 807469056 = 16512^2 + 28416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686254 + ... + 3686546.

Almost surely, 2^1080115200 is an apocalyptic number.

1080115200 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 1080115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941149847).

1080115200 is an abundant number, since it is smaller than the sum of its proper divisors (2802184494).

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

1080115200 is an equidigital number, since it uses as much as digits as its factorization.

1080115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1080115200 is about 32865.1061157575. The cubic root of 1080115200 is about 1026.0220461959.

The spelling of 1080115200 in words is "one billion, eighty million, one hundred fifteen thousand, two hundred".