5066861184 has 288 divisors, whose sum is σ = 18254564640. Its totient is φ = 1310561280.

The previous prime is 5066861147. The next prime is 5066861209. The reversal of 5066861184 is 4811686605.

5066861184 is a `hidden beast` number, since 506 + 6 + 8 + 61 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21200137 + ... + 21200375.

It is an arithmetic number, because the mean of its divisors is an integer number (63383905).

Almost surely, 2^5066861184 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 5066861184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127282320).

5066861184 is an abundant number, since it is smaller than the sum of its proper divisors (13187703456).

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

5066861184 is a wasteful number, since it uses less digits than its factorization.

5066861184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5066861184 is about 71181.8880334036. Note that the first 3 decimals coincide. The cubic root of 5066861184 is about 1717.5642899093.

The spelling of 5066861184 in words is "five billion, sixty-six million, eight hundred sixty-one thousand, one hundred eighty-four".