11085071360 has 264 divisors, whose sum is σ = 30285201240. Its totient is φ = 3885629440.

The previous prime is 11085071359. The next prime is 11085071369. The reversal of 11085071360 is 6317058011.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 11077141504 = 2816^2 + 105248^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11085071369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17965772 + ... + 17966388.

Almost surely, 2^11085071360 is an apocalyptic number.

11085071360 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 11085071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142600620).

11085071360 is an abundant number, since it is smaller than the sum of its proper divisors (19200129880).

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

11085071360 is a wasteful number, since it uses less digits than its factorization.

11085071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 11085071360 in words is "eleven billion, eighty-five million, seventy-one thousand, three hundred sixty".