5008988160 has 672 divisors, whose sum is σ = 19980127440. Its totient is φ = 1194393600.

The previous prime is 5008988119. The next prime is 5008988161. The reversal of 5008988160 is 618898005.

5008988160 is a `hidden beast` number, since 500 + 8 + 9 + 8 + 81 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008988161) 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 55 ways as a sum of consecutive naturals, for example, 82114530 + ... + 82114590.

Almost surely, 2^5008988160 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 5008988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990063720).

5008988160 is an abundant number, since it is smaller than the sum of its proper divisors (14971139280).

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

5008988160 is an equidigital number, since it uses as much as digits as its factorization.

5008988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 5008988160 is about 70774.2054706374. The cubic root of 5008988160 is about 1710.9999691434. Note that the first 4 decimals are identical.

The spelling of 5008988160 in words is "five billion, eight million, nine hundred eighty-eight thousand, one hundred sixty".