166010282208 has 288 divisors, whose sum is σ = 499874094720. Its totient is φ = 52195000320.

The previous prime is 166010282197. The next prime is 166010282209. The reversal of 166010282208 is 802282010661.

166010282208 is a `hidden beast` number, since 1 + 6 + 601 + 0 + 28 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166010282209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54589168 + ... + 54592208.

It is an arithmetic number, because the mean of its divisors is an integer number (1735673940).

Almost surely, 2^166010282208 is an apocalyptic number.

166010282208 is a gapful number since it is divisible by the number (18) 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 166010282208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249937047360).

166010282208 is an abundant number, since it is smaller than the sum of its proper divisors (333863812512).

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

166010282208 is a wasteful number, since it uses less digits than its factorization.

166010282208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 166010282208 its reverse (802282010661), we get a palindrome (968292292869).

The spelling of 166010282208 in words is "one hundred sixty-six billion, ten million, two hundred eighty-two thousand, two hundred eight".