71086953066191 has 32 divisors (see below), whose sum is σ = 72670416295680. Its totient is φ = 69518291673600.

The previous prime is 71086953066163. The next prime is 71086953066223. The reversal of 71086953066191 is 19166035968017.

It is a cyclic number.

It is not a de Polignac number, because 71086953066191 - 2¹⁸ = 71086952804047 is a prime.

It is a Smith number, since the sum of its digits (62) 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 (71086953066991) 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, 17687719580 + ... + 17687723598.

It is an arithmetic number, because the mean of its divisors is an integer number (2270950509240).

Almost surely, 2^{71086953066191} is an apocalyptic number.

71086953066191 is a deficient number, since it is larger than the sum of its proper divisors (1583463229489).

71086953066191 is a wasteful number, since it uses less digits than its factorization.

71086953066191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407.

The product of its (nonzero) digits is 14696640, while the sum is 62.

The spelling of 71086953066191 in words is "seventy-one trillion, eighty-six billion, nine hundred fifty-three million, sixty-six thousand, one hundred ninety-one".