10717038405117 has 48 divisors (see below), whose sum is σ = 17094127377600. Its totient is φ = 6416033126400.

The previous prime is 10717038405109. The next prime is 10717038405179. The reversal of 10717038405117 is 71150483071701.

It is not a de Polignac number, because 10717038405117 - 2³ = 10717038405109 is a prime.

It is a super-2 number, since 2×10717038405117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10717038405107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2247517 + ... + 5146397.

It is an arithmetic number, because the mean of its divisors is an integer number (356127653700).

Almost surely, 2^{10717038405117} is an apocalyptic number.

It is an amenable number.

10717038405117 is a deficient number, since it is larger than the sum of its proper divisors (6377088972483).

10717038405117 is a wasteful number, since it uses less digits than its factorization.

10717038405117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899354 (or 2899351 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 10717038405117 in words is "ten trillion, seven hundred seventeen billion, thirty-eight million, four hundred five thousand, one hundred seventeen".