5066155584 has 448 divisors, whose sum is σ = 18328965120. Its totient is φ = 1339269120.

The previous prime is 5066155583. The next prime is 5066155607. The reversal of 5066155584 is 4855516605.

5066155584 is a `hidden beast` number, since 5 + 0 + 6 + 61 + 5 + 5 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5066155583) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14599699 + ... + 14600045.

Almost surely, 2^5066155584 is an apocalyptic number.

5066155584 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 5066155584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164482560).

5066155584 is an abundant number, since it is smaller than the sum of its proper divisors (13262809536).

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

5066155584 is a wasteful number, since it uses less digits than its factorization.

5066155584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5066155584 is about 71176.9315438647. The cubic root of 5066155584 is about 1717.4845581266.

The spelling of 5066155584 in words is "five billion, sixty-six million, one hundred fifty-five thousand, five hundred eighty-four".