71165056116 has 288 divisors, whose sum is σ = 218081372544. Its totient is φ = 17848320000.

The previous prime is 71165056103. The next prime is 71165056129. The reversal of 71165056116 is 61165056117.

It is an interprime number because it is at equal distance from previous prime (71165056103) and next prime (71165056129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26782660 + ... + 26785316.

It is an arithmetic number, because the mean of its divisors is an integer number (757226988).

Almost surely, 2^71165056116 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 71165056116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109040686272).

71165056116 is an abundant number, since it is smaller than the sum of its proper divisors (146916316428).

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

71165056116 is a wasteful number, since it uses less digits than its factorization.

71165056116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

Subtracting from 71165056116 its reverse (61165056117), we obtain a palindrome (9999999999).

The spelling of 71165056116 in words is "seventy-one billion, one hundred sixty-five million, fifty-six thousand, one hundred sixteen".