11679894194400 has 432 divisors, whose sum is σ = 41705852623344. Its totient is φ = 3075385098240.

The previous prime is 11679894194363. The next prime is 11679894194417. The reversal of 11679894194400 is 449149897611.

11679894194400 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 98 + 94 + 19 + 440 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1336826832 + ... + 1336835568.

It is an arithmetic number, because the mean of its divisors is an integer number (96541325517).

Almost surely, 2^{11679894194400} is an apocalyptic number.

11679894194400 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 11679894194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852926311672).

11679894194400 is an abundant number, since it is smaller than the sum of its proper divisors (30025958428944).

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

11679894194400 is a wasteful number, since it uses less digits than its factorization.

11679894194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 11679894194400 in words is "eleven trillion, six hundred seventy-nine billion, eight hundred ninety-four million, one hundred ninety-four thousand, four hundred".