5006166984 has 256 divisors, whose sum is σ = 17516083200. Its totient is φ = 1289385216.

The previous prime is 5006166947. The next prime is 5006167009. The reversal of 5006166984 is 4896616005.

5006166984 is a `hidden beast` number, since 500 + 6 + 1 + 6 + 69 + 84 = 666.

It is a super-3 number, since 3×5006166984³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842247 + ... + 848169.

It is an arithmetic number, because the mean of its divisors is an integer number (68422200).

Almost surely, 2^5006166984 is an apocalyptic number.

5006166984 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 5006166984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758041600).

5006166984 is an abundant number, since it is smaller than the sum of its proper divisors (12509916216).

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

5006166984 is a wasteful number, since it uses less digits than its factorization.

5006166984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5006166984 is about 70754.2718427658. The cubic root of 5006166984 is about 1710.6786841247.

The spelling of 5006166984 in words is "five billion, six million, one hundred sixty-six thousand, nine hundred eighty-four".