166766585085 has 24 divisors (see below), whose sum is σ = 296112378744. Its totient is φ = 86772856320.

The previous prime is 166766585081. The next prime is 166766585087. The reversal of 166766585085 is 580585667661.

It is a happy number.

166766585085 is a `hidden beast` number, since 1 + 6 + 6 + 76 + 6 + 58 + 508 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10135858329 + 156630726756 = 100677^2 + 395766^2 .

It is not a de Polignac number, because 166766585085 - 2² = 166766585081 is a prime.

It is a super-2 number, since 2×166766585085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166766585081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45192352 + ... + 45196041.

It is an arithmetic number, because the mean of its divisors is an integer number (12338015781).

Almost surely, 2^166766585085 is an apocalyptic number.

166766585085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166766585085 is a deficient number, since it is larger than the sum of its proper divisors (129345793659).

166766585085 is a wasteful number, since it uses less digits than its factorization.

166766585085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90388445 (or 90388442 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 166766585085 in words is "one hundred sixty-six billion, seven hundred sixty-six million, five hundred eighty-five thousand, eighty-five".