71160512017801 has 16 divisors (see below), whose sum is σ = 73474908456960. Its totient is φ = 68847299357760.

The previous prime is 71160512017787. The next prime is 71160512017813. The reversal of 71160512017801 is 10871021506117.

It is a cyclic number.

It is not a de Polignac number, because 71160512017801 - 2²⁹ = 71159975146889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71160512012801) 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, 2520815955 + ... + 2520844183.

It is an arithmetic number, because the mean of its divisors is an integer number (4592181778560).

Almost surely, 2^{71160512017801} is an apocalyptic number.

It is an amenable number.

71160512017801 is a deficient number, since it is larger than the sum of its proper divisors (2314396439159).

71160512017801 is a wasteful number, since it uses less digits than its factorization.

71160512017801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46296.

The product of its (nonzero) digits is 23520, while the sum is 40.

The spelling of 71160512017801 in words is "seventy-one trillion, one hundred sixty billion, five hundred twelve million, seventeen thousand, eight hundred one".