5084089776000 has 576 divisors, whose sum is σ = 18866725534800. Its totient is φ = 1311987456000.

The previous prime is 5084089775993. The next prime is 5084089776023. The reversal of 5084089776000 is 6779804805.

5084089776000 is a `hidden beast` number, since 508 + 4 + 0 + 8 + 9 + 77 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138365631 + ... + 138402369.

Almost surely, 2^{5084089776000} is an apocalyptic number.

5084089776000 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 5084089776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433362767400).

5084089776000 is an abundant number, since it is smaller than the sum of its proper divisors (13782635758800).

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

5084089776000 is a wasteful number, since it uses less digits than its factorization.

5084089776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36836 (or 36780 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 5084089776000 in words is "five trillion, eighty-four billion, eighty-nine million, seven hundred seventy-six thousand".