71516165759 has 16 divisors (see below), whose sum is σ = 74941440000. Its totient is φ = 68165098560.

The previous prime is 71516165689. The next prime is 71516165779. The reversal of 71516165759 is 95756161517.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71516165759 - 2³² = 67221198463 is a prime.

It is a super-2 number, since 2×71516165759² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71516165759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71516165779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965942 + ... + 1037340.

It is an arithmetic number, because the mean of its divisors is an integer number (4683840000).

Almost surely, 2^71516165759 is an apocalyptic number.

71516165759 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

71516165759 is a deficient number, since it is larger than the sum of its proper divisors (3425274241).

71516165759 is a wasteful number, since it uses less digits than its factorization.

71516165759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71918.

The product of its digits is 1984500, while the sum is 53.

The spelling of 71516165759 in words is "seventy-one billion, five hundred sixteen million, one hundred sixty-five thousand, seven hundred fifty-nine".