1160512000 has 80 divisors (see below), whose sum is σ = 2893968792. Its totient is φ = 464179200.

The previous prime is 1160511983. The next prime is 1160512019. The reversal of 1160512000 is 2150611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 294740224 + 865771776 = 17168^2 + 29424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54934 + ... + 73066.

Almost surely, 2^1160512000 is an apocalyptic number.

1160512000 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 1160512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446984396).

1160512000 is an abundant number, since it is smaller than the sum of its proper divisors (1733456792).

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

1160512000 is an frugal number, since it uses more digits than its factorization.

1160512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18166 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1160512000 is about 34066.2883214476. The cubic root of 1160512000 is about 1050.8721400929.

Adding to 1160512000 its reverse (2150611), we get a palindrome (1162662611).

The spelling of 1160512000 in words is "one billion, one hundred sixty million, five hundred twelve thousand".