11769318617088 has 416 divisors, whose sum is σ = 33713055129600. Its totient is φ = 3640821350400.

The previous prime is 11769318617071. The next prime is 11769318617131. The reversal of 11769318617088 is 88071681396711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416199293 + ... + 2416204163.

Almost surely, 2^{11769318617088} 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 11769318617088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856527564800).

11769318617088 is an abundant number, since it is smaller than the sum of its proper divisors (21943736512512).

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

11769318617088 is a wasteful number, since it uses less digits than its factorization.

11769318617088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 66.

The spelling of 11769318617088 in words is "eleven trillion, seven hundred sixty-nine billion, three hundred eighteen million, six hundred seventeen thousand, eighty-eight".