5084313024000 has 640 divisors, whose sum is σ = 20159013169152. Its totient is φ = 1111594598400.

The previous prime is 5084313023987. The next prime is 5084313024017. The reversal of 5084313024000 is 4203134805.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30829762 + ... + 30994238.

Almost surely, 2^{5084313024000} is an apocalyptic number.

5084313024000 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 5084313024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079506584576).

5084313024000 is an abundant number, since it is smaller than the sum of its proper divisors (15074700145152).

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

5084313024000 is a wasteful number, since it uses less digits than its factorization.

5084313024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164543 (or 164517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 5084313024000 its reverse (4203134805), we get a palindrome (5088516158805).

The spelling of 5084313024000 in words is "five trillion, eighty-four billion, three hundred thirteen million, twenty-four thousand".