11799445680000 has 2880 divisors, whose sum is σ = 51171529368960. Its totient is φ = 2595225600000.

The previous prime is 11799445679981. The next prime is 11799445680007. The reversal of 11799445680000 is 8654499711.

11799445680000 is a `hidden beast` number, since 1 + 1 + 79 + 9 + 4 + 4 + 568 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×11799445680000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11799445680007) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45912239872 + ... + 45912240128.

It is an arithmetic number, because the mean of its divisors is an integer number (17767892142).

Almost surely, 2^{11799445680000} is an apocalyptic number.

11799445680000 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 11799445680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585764684480).

11799445680000 is an abundant number, since it is smaller than the sum of its proper divisors (39372083688960).

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

11799445680000 is a wasteful number, since it uses less digits than its factorization.

11799445680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11799445680000 in words is "eleven trillion, seven hundred ninety-nine billion, four hundred forty-five million, six hundred eighty thousand".