71165165760 has 448 divisors, whose sum is σ = 284605171200. Its totient is φ = 16595103744.

The previous prime is 71165165759. The next prime is 71165165801. The reversal of 71165165760 is 6756156117.

71165165760 is a `hidden beast` number, since 7 + 1 + 1 + 65 + 16 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2117407 + ... + 2150753.

It is an arithmetic number, because the mean of its divisors is an integer number (635279400).

Almost surely, 2^71165165760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71165165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142302585600).

71165165760 is an abundant number, since it is smaller than the sum of its proper divisors (213440005440).

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

71165165760 is a wasteful number, since it uses less digits than its factorization.

71165165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33405 (or 33389 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 71165165760 in words is "seventy-one billion, one hundred sixty-five million, one hundred sixty-five thousand, seven hundred sixty".