5006985984 has 648 divisors, whose sum is σ = 19606309632. Its totient is φ = 1193287680.

The previous prime is 5006985983. The next prime is 5006986003. The reversal of 5006985984 is 4895896005.

It is a happy number.

5006985984 is a `hidden beast` number, since 500 + 6 + 9 + 8 + 59 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5006985984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006985983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29981869 + ... + 29982035.

Almost surely, 2^5006985984 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 5006985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803154816).

5006985984 is an abundant number, since it is smaller than the sum of its proper divisors (14599323648).

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

5006985984 is a wasteful number, since it uses less digits than its factorization.

5006985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5006985984 is about 70760.0592424851. The cubic root of 5006985984 is about 1710.7719670330.

The spelling of 5006985984 in words is "five billion, six million, nine hundred eighty-five thousand, nine hundred eighty-four".