5871935832960 has 256 divisors, whose sum is σ = 18936779400000. Its totient is φ = 1547525554176.

The previous prime is 5871935832953. The next prime is 5871935832977. The reversal of 5871935832960 is 692385391785.

It is a junction number, because it is equal to n+sod(n) for n = 5871935832891 and 5871935832900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75680266 + ... + 75757814.

Almost surely, 2^{5871935832960} 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 5871935832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468389700000).

5871935832960 is an abundant number, since it is smaller than the sum of its proper divisors (13064843567040).

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

5871935832960 is a wasteful number, since it uses less digits than its factorization.

5871935832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78033 (or 78021 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 5871935832960 in words is "five trillion, eight hundred seventy-one billion, nine hundred thirty-five million, eight hundred thirty-two thousand, nine hundred sixty".