71059957668 has 360 divisors, whose sum is σ = 225636734400. Its totient is φ = 19099753344.

The previous prime is 71059957627. The next prime is 71059957693. The reversal of 71059957668 is 86675995017.

71059957668 is a `hidden beast` number, since 7 + 1 + 0 + 59 + 9 + 576 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187493103 + ... + 187493481.

Almost surely, 2^71059957668 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 71059957668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112818367200).

71059957668 is an abundant number, since it is smaller than the sum of its proper divisors (154576776732).

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

71059957668 is a wasteful number, since it uses less digits than its factorization.

71059957668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 71059957668 in words is "seventy-one billion, fifty-nine million, nine hundred fifty-seven thousand, six hundred sixty-eight".