166983360000 has 600 divisors, whose sum is σ = 577573548552. Its totient is φ = 42854400000.

The previous prime is 166983359941. The next prime is 166983360041. The reversal of 166983360000 is 63389661.

166983360000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 922559910 + ... + 922560090.

Almost surely, 2^166983360000 is an apocalyptic number.

166983360000 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 166983360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288786774276).

166983360000 is an abundant number, since it is smaller than the sum of its proper divisors (410590188552).

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

166983360000 is an frugal number, since it uses more digits than its factorization.

166983360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 166983360000 in words is "one hundred sixty-six billion, nine hundred eighty-three million, three hundred sixty thousand".