165166110160 has 20 divisors (see below), whose sum is σ = 384011206308. Its totient is φ = 66066444032.

The previous prime is 165166110107. The next prime is 165166110167. The reversal of 165166110160 is 61011661561.

165166110160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87327342144 + 77838768016 = 295512^2 + 278996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×165166110160³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165166110167) 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 3 ways as a sum of consecutive naturals, for example, 1032288109 + ... + 1032288268.

Almost surely, 2^165166110160 is an apocalyptic number.

165166110160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165166110160 is an abundant number, since it is smaller than the sum of its proper divisors (218845096148).

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

165166110160 is a wasteful number, since it uses less digits than its factorization.

165166110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064576390 (or 2064576384 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 165166110160 in words is "one hundred sixty-five billion, one hundred sixty-six million, one hundred ten thousand, one hundred sixty".