71026161000804 has 27 divisors (see below), whose sum is σ = 179538479238937. Its totient is φ = 23675370144864.

The previous prime is 71026161000799. The next prime is 71026161000827. The reversal of 71026161000804 is 40800016162017.

It is a happy number.

The square root of 71026161000804 is 8427702.

It is a perfect power (a square), and thus also a powerful number.

71026161000804 is a `hidden beast` number, since 7 + 10 + 26 + 1 + 610 + 0 + 0 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35842851872100 + 35183309128704 = 5986890^2 + 5931552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49863904 + ... + 51268520.

Almost surely, 2^{71026161000804} is an apocalyptic number.

71026161000804 is the 8427702-nd square number.

It is an amenable number.

71026161000804 is an abundant number, since it is smaller than the sum of its proper divisors (108512318238133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71026161000804 is an frugal number, since it uses more digits than its factorization.

71026161000804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809244 (or 1404622 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

71026161000804 divided by its sum of digits (36) gives a square (1972948916689 = 1404617²).

The spelling of 71026161000804 in words is "seventy-one trillion, twenty-six billion, one hundred sixty-one million, eight hundred four", and thus it is an aban number.