71031026016 has 144 divisors (see below), whose sum is σ = 214053132384. Its totient is φ = 22265843712.

The previous prime is 71031025993. The next prime is 71031026021. The reversal of 71031026016 is 61062013017.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6687526 + ... + 6698138.

It is an arithmetic number, because the mean of its divisors is an integer number (1486480086).

Almost surely, 2^71031026016 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 71031026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026566192).

71031026016 is an abundant number, since it is smaller than the sum of its proper divisors (143022106368).

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

71031026016 is a wasteful number, since it uses less digits than its factorization.

71031026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 71031026016 in words is "seventy-one billion, thirty-one million, twenty-six thousand, sixteen".