5968041571008 has 392 divisors, whose sum is σ = 19468975672080. Its totient is φ = 1799286773760.

The previous prime is 5968041571003. The next prime is 5968041571067. The reversal of 5968041571008 is 8001751408695.

It is a happy number.

5968041571008 is a `hidden beast` number, since 5 + 9 + 68 + 0 + 4 + 1 + 571 + 0 + 0 + 8 = 666.

It is a super-3 number, since 3×5968041571008³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5968041571003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101074038 + ... + 101133066.

Almost surely, 2^{5968041571008} 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 5968041571008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9734487836040).

5968041571008 is an abundant number, since it is smaller than the sum of its proper divisors (13500934101072).

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

5968041571008 is a wasteful number, since it uses less digits than its factorization.

5968041571008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59267 (or 59242 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5968041571008 in words is "five trillion, nine hundred sixty-eight billion, forty-one million, five hundred seventy-one thousand, eight".