71158144368960 has 1344 divisors, whose sum is σ = 288358395494400. Its totient is φ = 16490300682240.

The previous prime is 71158144368929. The next prime is 71158144369031. The reversal of 71158144368960 is 6986344185117.

71158144368960 is a `hidden beast` number, since 7 + 1 + 1 + 58 + 1 + 443 + 6 + 89 + 60 = 666.

71158144368960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71158144368960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2112817401 + ... + 2112851079.

It is an arithmetic number, because the mean of its divisors is an integer number (214552377600).

Almost surely, 2^{71158144368960} 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 71158144368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144179197747200).

71158144368960 is an abundant number, since it is smaller than the sum of its proper divisors (217200251125440).

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

71158144368960 is a wasteful number, since it uses less digits than its factorization.

71158144368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33817 (or 33790 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 71158144368960 in words is "seventy-one trillion, one hundred fifty-eight billion, one hundred forty-four million, three hundred sixty-eight thousand, nine hundred sixty".