10517793714 has 96 divisors (see below), whose sum is σ = 23877794304. Its totient is φ = 3342792960.

The previous prime is 10517793709. The next prime is 10517793749. The reversal of 10517793714 is 41739771501.

10517793714 is a `hidden beast` number, since 105 + 177 + 9 + 371 + 4 = 666.

It is a super-2 number, since 2×10517793714² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10517793714.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17327199 + ... + 17327805.

It is an arithmetic number, because the mean of its divisors is an integer number (248727024).

Almost surely, 2^10517793714 is an apocalyptic number.

10517793714 is an abundant number, since it is smaller than the sum of its proper divisors (13360000590).

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

10517793714 is a wasteful number, since it uses less digits than its factorization.

10517793714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

It can be divided in two parts, 105177 and 93714, that added together give a palindrome (198891).

The spelling of 10517793714 in words is "ten billion, five hundred seventeen million, seven hundred ninety-three thousand, seven hundred fourteen".