11096285084640 has 576 divisors, whose sum is σ = 44789262336000. Its totient is φ = 2447659855872.

The previous prime is 11096285084623. The next prime is 11096285084653. The reversal of 11096285084640 is 4648058269011.

11096285084640 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 628 + 5 + 0 + 8 + 4 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 701267769 + ... + 701283591.

It is an arithmetic number, because the mean of its divisors is an integer number (77759136000).

Almost surely, 2^{11096285084640} is an apocalyptic number.

11096285084640 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 11096285084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394631168000).

11096285084640 is an abundant number, since it is smaller than the sum of its proper divisors (33692977251360).

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

11096285084640 is a wasteful number, since it uses less digits than its factorization.

11096285084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279 (or 18268 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11096285084640 in words is "eleven trillion, ninety-six billion, two hundred eighty-five million, eighty-four thousand, six hundred forty".