71083039104 has 640 divisors, whose sum is σ = 265520851200. Its totient is φ = 18338918400.

The previous prime is 71083039073. The next prime is 71083039117. The reversal of 71083039104 is 40193038017.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214752219 + ... + 214752549.

It is an arithmetic number, because the mean of its divisors is an integer number (414876330).

Almost surely, 2^71083039104 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 71083039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132760425600).

71083039104 is an abundant number, since it is smaller than the sum of its proper divisors (194437812096).

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

71083039104 is a wasteful number, since it uses less digits than its factorization.

71083039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 71083039104 in words is "seventy-one billion, eighty-three million, thirty-nine thousand, one hundred four".