11685665590368 has 1152 divisors, whose sum is σ = 42440586854400. Its totient is φ = 2773332172800.

The previous prime is 11685665590303. The next prime is 11685665590369. The reversal of 11685665590368 is 86309556658611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11685665590369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13928087293 + ... + 13928088131.

It is an arithmetic number, because the mean of its divisors is an integer number (36840787200).

Almost surely, 2^{11685665590368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11685665590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21220293427200).

11685665590368 is an abundant number, since it is smaller than the sum of its proper divisors (30754921264032).

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

11685665590368 is a wasteful number, since it uses less digits than its factorization.

11685665590368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 69.

The spelling of 11685665590368 in words is "eleven trillion, six hundred eighty-five billion, six hundred sixty-five million, five hundred ninety thousand, three hundred sixty-eight".