5093847360 has 672 divisors, whose sum is σ = 21568135680. Its totient is φ = 1077018624.

The previous prime is 5093847349. The next prime is 5093847401. The reversal of 5093847360 is 637483905.

5093847360 is a `hidden beast` number, since 509 + 3 + 84 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30501997 + ... + 30502163.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^5093847360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5093847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784067840).

5093847360 is an abundant number, since it is smaller than the sum of its proper divisors (16474288320).

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

5093847360 is a wasteful number, since it uses less digits than its factorization.

5093847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5093847360 is about 71371.1941892526. The cubic root of 5093847360 is about 1720.6081498297.

The spelling of 5093847360 in words is "five billion, ninety-three million, eight hundred forty-seven thousand, three hundred sixty".