71011688076 has 108 divisors (see below), whose sum is σ = 209061412560. Its totient is φ = 20264448960.

The previous prime is 71011688051. The next prime is 71011688131. The reversal of 71011688076 is 67088611017.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1456006 + ... + 1503986.

It is an arithmetic number, because the mean of its divisors is an integer number (1935753820).

Almost surely, 2^71011688076 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 71011688076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104530706280).

71011688076 is an abundant number, since it is smaller than the sum of its proper divisors (138049724484).

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

71011688076 is a wasteful number, since it uses less digits than its factorization.

71011688076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48844 (or 48832 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 71011688076 in words is "seventy-one billion, eleven million, six hundred eighty-eight thousand, seventy-six".