166716182400000 has 264 divisors, whose sum is σ = 555413743276560. Its totient is φ = 44457646080000.

The previous prime is 166716182399999. The next prime is 166716182400037. The reversal of 166716182400000 is 4281617661.

166716182400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916866 + ... + 18283134.

Almost surely, 2^{166716182400000} is an apocalyptic number.

166716182400000 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 166716182400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277706871638280).

166716182400000 is an abundant number, since it is smaller than the sum of its proper divisors (388697560876560).

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

166716182400000 is an frugal number, since it uses more digits than its factorization.

166716182400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366317 (or 17366279 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 166716182400000 in words is "one hundred sixty-six trillion, seven hundred sixteen billion, one hundred eighty-two million, four hundred thousand".