11178102896688 has 240 divisors, whose sum is σ = 36188294800896. Its totient is φ = 2947011217920.

The previous prime is 11178102896683. The next prime is 11178102896761. The reversal of 11178102896688 is 88669820187111.

It is a Cunningham number, because it is equal to 3343367²-1.

It is not an unprimeable number, because it can be changed into a prime (11178102896683) 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 47 ways as a sum of consecutive naturals, for example, 86863273 + ... + 86991863.

Almost surely, 2^{11178102896688} 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 11178102896688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094147400448).

11178102896688 is an abundant number, since it is smaller than the sum of its proper divisors (25010191904208).

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

11178102896688 is a wasteful number, since it uses less digits than its factorization.

11178102896688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131472 (or 131459 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 66.

The spelling of 11178102896688 in words is "eleven trillion, one hundred seventy-eight billion, one hundred two million, eight hundred ninety-six thousand, six hundred eighty-eight".