18066917068200 has 3072 divisors, whose sum is σ = 87980768870400. Its totient is φ = 3311953920000.

The previous prime is 18066917068169. The next prime is 18066917068229. The reversal of 18066917068200 is 286071966081.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 15043227600 + ... + 15043228800.

It is an arithmetic number, because the mean of its divisors is an integer number (28639573200).

Almost surely, 2^{18066917068200} is an apocalyptic number.

18066917068200 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 18066917068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43990384435200).

18066917068200 is an abundant number, since it is smaller than the sum of its proper divisors (69913851802200).

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

18066917068200 is a wasteful number, since it uses less digits than its factorization.

18066917068200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18066917068200 in words is "eighteen trillion, sixty-six billion, nine hundred seventeen million, sixty-eight thousand, two hundred".