11085656184064 has 576 divisors, whose sum is σ = 29830129459200. Its totient is φ = 3979454054400.

The previous prime is 11085656184061. The next prime is 11085656184133. The reversal of 11085656184064 is 46048165658011.

It is a junction number, because it is equal to n+sod(n) for n = 11085656183996 and 11085656184014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085656184061) 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, 5357976822 + ... + 5357978890.

It is an arithmetic number, because the mean of its divisors is an integer number (51788419200).

Almost surely, 2^{11085656184064} is an apocalyptic number.

11085656184064 is a gapful number since it is divisible by the number (14) 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 11085656184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915064729600).

11085656184064 is an abundant number, since it is smaller than the sum of its proper divisors (18744473275136).

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

11085656184064 is a wasteful number, since it uses less digits than its factorization.

11085656184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 11085656184064 in words is "eleven trillion, eighty-five billion, six hundred fifty-six million, one hundred eighty-four thousand, sixty-four".