5161584384 has 432 divisors, whose sum is σ = 17767102080. Its totient is φ = 1478062080.

The previous prime is 5161584371. The next prime is 5161584409. The reversal of 5161584384 is 4834851615.

5161584384 is a `hidden beast` number, since 5 + 1 + 61 + 584 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001274 + ... + 13001670.

Almost surely, 2^5161584384 is an apocalyptic number.

5161584384 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 5161584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883551040).

5161584384 is an abundant number, since it is smaller than the sum of its proper divisors (12605517696).

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

5161584384 is a wasteful number, since it uses less digits than its factorization.

5161584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 5161584384 is about 71844.1673624241. The cubic root of 5161584384 is about 1728.2013654227.

The spelling of 5161584384 in words is "five billion, one hundred sixty-one million, five hundred eighty-four thousand, three hundred eighty-four".