11576768788608 has 128 divisors (see below), whose sum is σ = 30814399936320. Its totient is φ = 3850949246976.

The previous prime is 11576768788603. The next prime is 11576768788681. The reversal of 11576768788608 is 80688786767511.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11576768788603) 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 15 ways as a sum of consecutive naturals, for example, 371666091 + ... + 371697237.

Almost surely, 2^{11576768788608} 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 11576768788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407199968160).

11576768788608 is an abundant number, since it is smaller than the sum of its proper divisors (19237631147712).

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

11576768788608 is a wasteful number, since it uses less digits than its factorization.

11576768788608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33134 (or 33122 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 78.

The spelling of 11576768788608 in words is "eleven trillion, five hundred seventy-six billion, seven hundred sixty-eight million, seven hundred eighty-eight thousand, six hundred eight".