11816063479200 has 864 divisors, whose sum is σ = 44105018348160. Its totient is φ = 2738737971200.

The previous prime is 11816063479193. The next prime is 11816063479247. The reversal of 11816063479200 is 297436061811.

It is a super-2 number, since 2×11816063479200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11816063479200.

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 143 ways as a sum of consecutive naturals, for example, 462618430 + ... + 462643970.

It is an arithmetic number, because the mean of its divisors is an integer number (51047474940).

Almost surely, 2^{11816063479200} is an apocalyptic number.

11816063479200 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 11816063479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052509174080).

11816063479200 is an abundant number, since it is smaller than the sum of its proper divisors (32288954868960).

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

11816063479200 is a wasteful number, since it uses less digits than its factorization.

11816063479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25620 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11816063479200 in words is "eleven trillion, eight hundred sixteen billion, sixty-three million, four hundred seventy-nine thousand, two hundred".