166546299920 has 480 divisors, whose sum is σ = 532203436800. Its totient is φ = 47644692480.

The previous prime is 166546299863. The next prime is 166546299929. The reversal of 166546299920 is 29992645661.

166546299920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166546299920.

It is not an unprimeable number, because it can be changed into a prime (166546299929) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 111550694 + ... + 111552186.

It is an arithmetic number, because the mean of its divisors is an integer number (1108757160).

Almost surely, 2^166546299920 is an apocalyptic number.

166546299920 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 166546299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266101718400).

166546299920 is an abundant number, since it is smaller than the sum of its proper divisors (365657136880).

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

166546299920 is a wasteful number, since it uses less digits than its factorization.

166546299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 166546299920 in words is "one hundred sixty-six billion, five hundred forty-six million, two hundred ninety-nine thousand, nine hundred twenty".