11982084627600 has 720 divisors, whose sum is σ = 44514142912512. Its totient is φ = 2977642736640.

The previous prime is 11982084627599. The next prime is 11982084627673. The reversal of 11982084627600 is 672648028911.

It is a happy number.

11982084627600 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 2 + 0 + 8 + 4 + 6 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 867819897 + ... + 867833703.

Almost surely, 2^{11982084627600} is an apocalyptic number.

11982084627600 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 11982084627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22257071456256).

11982084627600 is an abundant number, since it is smaller than the sum of its proper divisors (32532058284912).

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

11982084627600 is a wasteful number, since it uses less digits than its factorization.

11982084627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11982084627600 in words is "eleven trillion, nine hundred eighty-two billion, eighty-four million, six hundred twenty-seven thousand, six hundred".