71589710268 has 18 divisors (see below), whose sum is σ = 180962878824. Its totient is φ = 23863236744.

The previous prime is 71589710261. The next prime is 71589710273. The reversal of 71589710268 is 86201798517.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71589710261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 994301496 + ... + 994301567.

It is an arithmetic number, because the mean of its divisors is an integer number (10053493268).

Almost surely, 2^71589710268 is an apocalyptic number.

It is an amenable number.

71589710268 is an abundant number, since it is smaller than the sum of its proper divisors (109373168556).

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

71589710268 is a wasteful number, since it uses less digits than its factorization.

71589710268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988603073 (or 1988603068 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 71589710268 in words is "seventy-one billion, five hundred eighty-nine million, seven hundred ten thousand, two hundred sixty-eight".