5084335872 has 576 divisors, whose sum is σ = 19284894720. Its totient is φ = 1282867200.

The previous prime is 5084335829. The next prime is 5084335889. The reversal of 5084335872 is 2785334805.

5084335872 is a `hidden beast` number, since 508 + 43 + 35 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21821068 + ... + 21821300.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^5084335872 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 5084335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

5084335872 is an abundant number, since it is smaller than the sum of its proper divisors (14200558848).

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

5084335872 is a wasteful number, since it uses less digits than its factorization.

5084335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5084335872 is about 71304.5291128130. The cubic root of 5084335872 is about 1719.5365472092.

The spelling of 5084335872 in words is "five billion, eighty-four million, three hundred thirty-five thousand, eight hundred seventy-two".