18217180800000 has 3168 divisors, whose sum is σ = 84732700510080. Its totient is φ = 3832012800000.

The previous prime is 18217180799971. The next prime is 18217180800001. The reversal of 18217180800000 is 808171281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18217180800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55036799835 + ... + 55036800165.

Almost surely, 2^{18217180800000} is an apocalyptic number.

18217180800000 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 18217180800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366350255040).

18217180800000 is an abundant number, since it is smaller than the sum of its proper divisors (66515519710080).

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

18217180800000 is an equidigital number, since it uses as much as digits as its factorization.

18217180800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 18217180800000 its reverse (808171281), we get a palindrome (18217988971281).

The spelling of 18217180800000 in words is "eighteen trillion, two hundred seventeen billion, one hundred eighty million, eight hundred thousand".