5955817959168 has 288 divisors, whose sum is σ = 19984554938880. Its totient is φ = 1529582714880.

The previous prime is 5955817959151. The next prime is 5955817959199. The reversal of 5955817959168 is 8619597185595.

It is a junction number, because it is equal to n+sod(n) for n = 5955817959093 and 5955817959102.

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, 4697296 + ... + 5828912.

It is an arithmetic number, because the mean of its divisors is an integer number (69390815760).

Almost surely, 2^{5955817959168} 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 5955817959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992277469440).

5955817959168 is an abundant number, since it is smaller than the sum of its proper divisors (14028736979712).

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

5955817959168 is a wasteful number, since it uses less digits than its factorization.

5955817959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131743 (or 1131729 counting only the distinct ones).

The product of its digits is 1224720000, while the sum is 78.

The spelling of 5955817959168 in words is "five trillion, nine hundred fifty-five billion, eight hundred seventeen million, nine hundred fifty-nine thousand, one hundred sixty-eight".