11312271360 has 312 divisors, whose sum is σ = 42236268984. Its totient is φ = 2783969280.

The previous prime is 11312271343. The next prime is 11312271379. The reversal of 11312271360 is 6317221311.

11312271360 is a `hidden beast` number, since 1 + 1 + 31 + 2 + 271 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 11070406656 = 15552^2 + 105216^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393800 + ... + 2398520.

It is an arithmetic number, because the mean of its divisors is an integer number (135372657).

Almost surely, 2^11312271360 is an apocalyptic number.

11312271360 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 11312271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118134492).

11312271360 is an abundant number, since it is smaller than the sum of its proper divisors (30923997624).

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

11312271360 is a wasteful number, since it uses less digits than its factorization.

11312271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 11312271360 its reverse (6317221311), we get a palindrome (17629492671).

The spelling of 11312271360 in words is "eleven billion, three hundred twelve million, two hundred seventy-one thousand, three hundred sixty".