5084829859200 has 768 divisors, whose sum is σ = 20641410531840. Its totient is φ = 1071371059200.

The previous prime is 5084829859199. The next prime is 5084829859201. The reversal of 5084829859200 is 29589284805.

It is an interprime number because it is at equal distance from previous prime (5084829859199) and next prime (5084829859201).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084829859201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708486012 + ... + 708493188.

It is an arithmetic number, because the mean of its divisors is an integer number (26876836630).

Almost surely, 2^{5084829859200} is an apocalyptic number.

5084829859200 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 5084829859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320705265920).

5084829859200 is an abundant number, since it is smaller than the sum of its proper divisors (15556580672640).

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

5084829859200 is a wasteful number, since it uses less digits than its factorization.

5084829859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 5084829859200 in words is "five trillion, eighty-four billion, eight hundred twenty-nine million, eight hundred fifty-nine thousand, two hundred".