5085433584 has 720 divisors, whose sum is σ = 20209539840. Its totient is φ = 1189140480.

The previous prime is 5085433579. The next prime is 5085433597. The reversal of 5085433584 is 4853345805.

5085433584 is a `hidden beast` number, since 50 + 8 + 543 + 3 + 58 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221105797 + ... + 221105819.

Almost surely, 2^5085433584 is an apocalyptic number.

5085433584 is a gapful number since it is divisible by the number (54) 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 5085433584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104769920).

5085433584 is an abundant number, since it is smaller than the sum of its proper divisors (15124106256).

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

5085433584 is a wasteful number, since it uses less digits than its factorization.

5085433584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 5085433584 is about 71312.2260485536. The cubic root of 5085433584 is about 1719.6602880559.

The spelling of 5085433584 in words is "five billion, eighty-five million, four hundred thirty-three thousand, five hundred eighty-four".