71293668883567 has 32 divisors (see below), whose sum is σ = 82200685996800. Its totient is φ = 61280115466752.

The previous prime is 71293668883543. The next prime is 71293668883607. The reversal of 71293668883567 is 76538886639217.

It is not a de Polignac number, because 71293668883567 - 2¹⁵ = 71293668850799 is a prime.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71293668886567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99219328 + ... + 99935290.

It is an arithmetic number, because the mean of its divisors is an integer number (2568771437400).

Almost surely, 2^{71293668883567} is an apocalyptic number.

71293668883567 is a deficient number, since it is larger than the sum of its proper divisors (10907017113233).

71293668883567 is a wasteful number, since it uses less digits than its factorization.

71293668883567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722887.

The product of its digits is 4389396480, while the sum is 79.

The spelling of 71293668883567 in words is "seventy-one trillion, two hundred ninety-three billion, six hundred sixty-eight million, eight hundred eighty-three thousand, five hundred sixty-seven".