11360838686208 has 320 divisors, whose sum is σ = 34491160281600. Its totient is φ = 3289347522560.

The previous prime is 11360838686203. The next prime is 11360838686261. The reversal of 11360838686208 is 80268683806311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360838686203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361001098 + ... + 361032566.

It is an arithmetic number, because the mean of its divisors is an integer number (107784875880).

Almost surely, 2^{11360838686208} 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 11360838686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245580140800).

11360838686208 is an abundant number, since it is smaller than the sum of its proper divisors (23130321595392).

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

11360838686208 is a wasteful number, since it uses less digits than its factorization.

11360838686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32453 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 11360838686208 in words is "eleven trillion, three hundred sixty billion, eight hundred thirty-eight million, six hundred eighty-six thousand, two hundred eight".