83088768268517 has 24 divisors (see below), whose sum is σ = 91510826086680. Its totient is φ = 75384977817600.

The previous prime is 83088768268327. The next prime is 83088768268529. The reversal of 83088768268517 is 71586286788038.

It can be written as a sum of positive squares in 4 ways, for example, as 36784540380676 + 46304227887841 = 6065026^2 + 6804721^2 .

It is not a de Polignac number, because 83088768268517 - 2²² = 83088764074213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83088768268567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134892917 + ... + 135507477.

It is an arithmetic number, because the mean of its divisors is an integer number (3812951086945).

Almost surely, 2^{83088768268517} is an apocalyptic number.

It is an amenable number.

83088768268517 is a deficient number, since it is larger than the sum of its proper divisors (8422057818163).

83088768268517 is a wasteful number, since it uses less digits than its factorization.

83088768268517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616805 (or 616794 counting only the distinct ones).

The product of its (nonzero) digits is 1734082560, while the sum is 77.

The spelling of 83088768268517 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, five hundred seventeen".