71589710016 has 252 divisors, whose sum is σ = 227300024952. Its totient is φ = 21525504000.

The previous prime is 71589709979. The next prime is 71589710081. The reversal of 71589710016 is 61001798517.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9126256 + ... + 9134096.

It is an arithmetic number, because the mean of its divisors is an integer number (901984226).

Almost surely, 2^71589710016 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 71589710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113650012476).

71589710016 is an abundant number, since it is smaller than the sum of its proper divisors (155710314936).

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

71589710016 is a wasteful number, since it uses less digits than its factorization.

71589710016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 71589710016 in words is "seventy-one billion, five hundred eighty-nine million, seven hundred ten thousand, sixteen".