5200834584000 has 1680 divisors, whose sum is σ = 20423177218080. Its totient is φ = 1165317120000.

The previous prime is 5200834583999. The next prime is 5200834584017. The reversal of 5200834584000 is 4854380025.

It is a self number, because there is not a number n which added to its sum of digits gives 5200834584000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126849623980 + ... + 126849624020.

It is an arithmetic number, because the mean of its divisors is an integer number (12156653106).

Almost surely, 2^{5200834584000} is an apocalyptic number.

5200834584000 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 5200834584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211588609040).

5200834584000 is an abundant number, since it is smaller than the sum of its proper divisors (15222342634080).

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

5200834584000 is an equidigital number, since it uses as much as digits as its factorization.

5200834584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 5200834584000 in words is "five trillion, two hundred billion, eight hundred thirty-four million, five hundred eighty-four thousand".