5584916160 has 336 divisors, whose sum is σ = 20896271136. Its totient is φ = 1363378176.

The previous prime is 5584916159. The next prime is 5584916219. The reversal of 5584916160 is 616194855.

5584916160 is a `hidden beast` number, since 5 + 584 + 9 + 1 + 6 + 1 + 60 = 666.

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

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, 1809979 + ... + 1813061.

Almost surely, 2^5584916160 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 5584916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448135568).

5584916160 is an abundant number, since it is smaller than the sum of its proper divisors (15311354976).

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

5584916160 is a wasteful number, since it uses less digits than its factorization.

5584916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5584916160 is about 74732.2966327143. The cubic root of 5584916160 is about 1774.2121648186.

The spelling of 5584916160 in words is "five billion, five hundred eighty-four million, nine hundred sixteen thousand, one hundred sixty".