11789755998720 has 960 divisors, whose sum is σ = 44381705639040. Its totient is φ = 2661965365248.

The previous prime is 11789755998707. The next prime is 11789755998791. The reversal of 11789755998720 is 2789955798711.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13443278922 + ... + 13443279798.

It is an arithmetic number, because the mean of its divisors is an integer number (46230943374).

Almost surely, 2^{11789755998720} is an apocalyptic number.

11789755998720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11789755998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190852819520).

11789755998720 is an abundant number, since it is smaller than the sum of its proper divisors (32591949640320).

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

11789755998720 is a wasteful number, since it uses less digits than its factorization.

11789755998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 78.

The spelling of 11789755998720 in words is "eleven trillion, seven hundred eighty-nine billion, seven hundred fifty-five million, nine hundred ninety-eight thousand, seven hundred twenty".