11344085760 has 576 divisors, whose sum is σ = 44079759360. Its totient is φ = 2430320640.

The previous prime is 11344085681. The next prime is 11344085761. The reversal of 11344085760 is 6758044311.

It is not an unprimeable number, because it can be changed into a prime (11344085761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36476005 + ... + 36476315.

It is an arithmetic number, because the mean of its divisors is an integer number (76527360).

Almost surely, 2^11344085760 is an apocalyptic number.

11344085760 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 11344085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039879680).

11344085760 is an abundant number, since it is smaller than the sum of its proper divisors (32735673600).

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

11344085760 is a wasteful number, since it uses less digits than its factorization.

11344085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11344085760 in words is "eleven billion, three hundred forty-four million, eighty-five thousand, seven hundred sixty".