166081652100 has 576 divisors, whose sum is σ = 674931801600. Its totient is φ = 34092472320.

The previous prime is 166081652089. The next prime is 166081652117. The reversal of 166081652100 is 1256180661.

166081652100 is a `hidden beast` number, since 16 + 608 + 16 + 5 + 21 + 0 + 0 = 666.

166081652100 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 (36).

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 191 ways as a sum of consecutive naturals, for example, 9081766 + ... + 9100034.

It is an arithmetic number, because the mean of its divisors is an integer number (1171756600).

Almost surely, 2^166081652100 is an apocalyptic number.

166081652100 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 166081652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337465900800).

166081652100 is an abundant number, since it is smaller than the sum of its proper divisors (508850149500).

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

166081652100 is a wasteful number, since it uses less digits than its factorization.

166081652100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18336 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 166081652100 in words is "one hundred sixty-six billion, eighty-one million, six hundred fifty-two thousand, one hundred".