5968668134520 has 640 divisors, whose sum is σ = 26143328534400. Its totient is φ = 1185244545024.

The previous prime is 5968668134477. The next prime is 5968668134543. The reversal of 5968668134520 is 254318668695.

It is a happy number.

5968668134520 is a `hidden beast` number, since 5 + 96 + 8 + 6 + 6 + 8 + 13 + 4 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4416876 + ... + 5607684.

It is an arithmetic number, because the mean of its divisors is an integer number (40848950835).

Almost surely, 2^{5968668134520} 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 5968668134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071664267200).

5968668134520 is an abundant number, since it is smaller than the sum of its proper divisors (20174660399880).

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

5968668134520 is a wasteful number, since it uses less digits than its factorization.

5968668134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190869 (or 1190856 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 5968668134520 in words is "five trillion, nine hundred sixty-eight billion, six hundred sixty-eight million, one hundred thirty-four thousand, five hundred twenty".