172107205668 has 36 divisors (see below), whose sum is σ = 435062823468. Its totient is φ = 57367215360.

The previous prime is 172107205667. The next prime is 172107205717. The reversal of 172107205668 is 866502701271.

172107205668 is a `hidden beast` number, since 1 + 7 + 2 + 10 + 72 + 0 + 566 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158880365604 + 13226840064 = 398598^2 + 115008^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (172107205667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486480 + ... + 1598072.

Almost surely, 2^172107205668 is an apocalyptic number.

172107205668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172107205668 is an abundant number, since it is smaller than the sum of its proper divisors (262955617800).

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

172107205668 is a wasteful number, since it uses less digits than its factorization.

172107205668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154444 (or 154439 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 172107205668 in words is "one hundred seventy-two billion, one hundred seven million, two hundred five thousand, six hundred sixty-eight".