5879415168768 has 144 divisors (see below), whose sum is σ = 16632755909280. Its totient is φ = 1837344227328.

The previous prime is 5879415168749. The next prime is 5879415168773. The reversal of 5879415168768 is 8678615149785.

It is a self number, because there is not a number n which added to its sum of digits gives 5879415168768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479278 + ... + 4231506.

It is an arithmetic number, because the mean of its divisors is an integer number (115505249370).

Almost surely, 2^{5879415168768} 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 5879415168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316377954640).

5879415168768 is an abundant number, since it is smaller than the sum of its proper divisors (10753340740512).

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

5879415168768 is a wasteful number, since it uses less digits than its factorization.

5879415168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752522 (or 1752508 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 75.

The spelling of 5879415168768 in words is "five trillion, eight hundred seventy-nine billion, four hundred fifteen million, one hundred sixty-eight thousand, seven hundred sixty-eight".