17166120642 has 64 divisors (see below), whose sum is σ = 41812369920. Its totient is φ = 5177163600.

The previous prime is 17166120641. The next prime is 17166120649. The reversal of 17166120642 is 24602166171.

17166120642 is a `hidden beast` number, since 1 + 7 + 1 + 6 + 6 + 1 + 2 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 17166120597 and 17166120606.

It is not an unprimeable number, because it can be changed into a prime (17166120641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56853 + ... + 193815.

It is an arithmetic number, because the mean of its divisors is an integer number (653318280).

Almost surely, 2^17166120642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17166120642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906184960).

17166120642 is an abundant number, since it is smaller than the sum of its proper divisors (24646249278).

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

17166120642 is a wasteful number, since it uses less digits than its factorization.

17166120642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137196 (or 137190 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 17166120642 in words is "seventeen billion, one hundred sixty-six million, one hundred twenty thousand, six hundred forty-two".