5284584109350 has 1152 divisors, whose sum is σ = 18595069339392. Its totient is φ = 1046288793600.

The previous prime is 5284584109303. The next prime is 5284584109351. The reversal of 5284584109350 is 539014854825.

5284584109350 is a `hidden beast` number, since 5 + 2 + 8 + 4 + 584 + 1 + 0 + 9 + 3 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5284584109351) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6025751112 + ... + 6025751988.

It is an arithmetic number, because the mean of its divisors is an integer number (16141553246).

Almost surely, 2^{5284584109350} is an apocalyptic number.

5284584109350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284584109350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297534669696).

5284584109350 is an abundant number, since it is smaller than the sum of its proper divisors (13310485230042).

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

5284584109350 is a wasteful number, since it uses less digits than its factorization.

5284584109350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5284584109350 in words is "five trillion, two hundred eighty-four billion, five hundred eighty-four million, one hundred nine thousand, three hundred fifty".