166308805300 has 144 divisors (see below), whose sum is σ = 420757944768. Its totient is φ = 56385894400.

The previous prime is 166308805279. The next prime is 166308805331. The reversal of 166308805300 is 3508803661.

166308805300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166308805300³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959342 + ... + 2042458.

It is an arithmetic number, because the mean of its divisors is an integer number (2921930172).

Almost surely, 2^166308805300 is an apocalyptic number.

166308805300 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 166308805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210378972384).

166308805300 is an abundant number, since it is smaller than the sum of its proper divisors (254449139468).

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

166308805300 is a wasteful number, since it uses less digits than its factorization.

166308805300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83266 (or 83259 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 166308805300 in words is "one hundred sixty-six billion, three hundred eight million, eight hundred five thousand, three hundred".