5878783872000 has 2816 divisors, whose sum is σ = 25493423155200. Its totient is φ = 1322857267200.

The previous prime is 5878783871993. The next prime is 5878783872023. The reversal of 5878783872000 is 2783878785.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32842367911 + ... + 32842368089.

It is an arithmetic number, because the mean of its divisors is an integer number (9053062200).

Almost surely, 2^{5878783872000} is an apocalyptic number.

5878783872000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5878783872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746711577600).

5878783872000 is an abundant number, since it is smaller than the sum of its proper divisors (19614639283200).

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

5878783872000 is a wasteful number, since it uses less digits than its factorization.

5878783872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 5878783872000 in words is "five trillion, eight hundred seventy-eight billion, seven hundred eighty-three million, eight hundred seventy-two thousand".