78177107081017 has 16 divisors (see below), whose sum is σ = 89953676077824. Its totient is φ = 66552805800000.

The previous prime is 78177107080999. The next prime is 78177107081041. The reversal of 78177107081017 is 71018070177187.

It is a cyclic number.

It is not a de Polignac number, because 78177107081017 - 2²³ = 78177098692409 is a prime.

It is a super-3 number, since 3×78177107081017³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78177107084017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184734 + ... + 12560167.

It is an arithmetic number, because the mean of its divisors is an integer number (5622104754864).

Almost surely, 2^{78177107081017} is an apocalyptic number.

It is an amenable number.

78177107081017 is a deficient number, since it is larger than the sum of its proper divisors (11776568996807).

78177107081017 is a wasteful number, since it uses less digits than its factorization.

78177107081017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750440.

The product of its (nonzero) digits is 1075648, while the sum is 55.

The spelling of 78177107081017 in words is "seventy-eight trillion, one hundred seventy-seven billion, one hundred seven million, eighty-one thousand, seventeen".