16972117271175 has 192 divisors, whose sum is σ = 32483724337152. Its totient is φ = 7737892800000.

The previous prime is 16972117271149. The next prime is 16972117271183. The reversal of 16972117271175 is 57117271127961.

16972117271175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16972117271175 - 2⁹ = 16972117270663 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3360147400 + ... + 3360152450.

It is an arithmetic number, because the mean of its divisors is an integer number (169186064256).

Almost surely, 2^{16972117271175} is an apocalyptic number.

16972117271175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16972117271175 is a deficient number, since it is larger than the sum of its proper divisors (15511607065977).

16972117271175 is a wasteful number, since it uses less digits than its factorization.

16972117271175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062 (or 8057 counting only the distinct ones).

The product of its digits is 2593080, while the sum is 57.

The spelling of 16972117271175 in words is "sixteen trillion, nine hundred seventy-two billion, one hundred seventeen million, two hundred seventy-one thousand, one hundred seventy-five".