11983854873600 has 924 divisors, whose sum is σ = 44670758720056. Its totient is φ = 3186164367360.

The previous prime is 11983854873577. The next prime is 11983854873671. The reversal of 11983854873600 is 637845838911.

11983854873600 is a `hidden beast` number, since 1 + 1 + 9 + 83 + 8 + 548 + 7 + 3 + 6 + 0 + 0 = 666.

It is a super-3 number, since 3×11983854873600³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 8080818459 + ... + 8080819941.

Almost surely, 2^{11983854873600} is an apocalyptic number.

11983854873600 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 11983854873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335379360028).

11983854873600 is an abundant number, since it is smaller than the sum of its proper divisors (32686903846456).

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

11983854873600 is an equidigital number, since it uses as much as digits as its factorization.

11983854873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 11983854873600 in words is "eleven trillion, nine hundred eighty-three billion, eight hundred fifty-four million, eight hundred seventy-three thousand, six hundred".