166609570680 has 960 divisors, whose sum is σ = 681313248000. Its totient is φ = 36369285120.

The previous prime is 166609570651. The next prime is 166609570681. The reversal of 166609570680 is 86075906661.

166609570680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166609570681) 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 239 ways as a sum of consecutive naturals, for example, 477391146 + ... + 477391494.

It is an arithmetic number, because the mean of its divisors is an integer number (709701300).

Almost surely, 2^166609570680 is an apocalyptic number.

166609570680 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 166609570680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340656624000).

166609570680 is an abundant number, since it is smaller than the sum of its proper divisors (514703677320).

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

166609570680 is a wasteful number, since it uses less digits than its factorization.

166609570680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 166609570680 in words is "one hundred sixty-six billion, six hundred nine million, five hundred seventy thousand, six hundred eighty".