17929880052168 has 128 divisors (see below), whose sum is σ = 52289475840000. Its totient is φ = 5121277116480.

The previous prime is 17929880052151. The next prime is 17929880052169. The reversal of 17929880052168 is 86125008892971.

It is a junction number, because it is equal to n+sod(n) for n = 17929880052099 and 17929880052108.

It is not an unprimeable number, because it can be changed into a prime (17929880052169) 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, 27093853 + ... + 27747731.

It is an arithmetic number, because the mean of its divisors is an integer number (408511530000).

Almost surely, 2^{17929880052168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17929880052168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144737920000).

17929880052168 is an abundant number, since it is smaller than the sum of its proper divisors (34359595787832).

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

17929880052168 is a wasteful number, since it uses less digits than its factorization.

17929880052168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657240 (or 657222 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 17929880052168 in words is "seventeen trillion, nine hundred twenty-nine billion, eight hundred eighty million, fifty-two thousand, one hundred sixty-eight".