5008968000 has 336 divisors, whose sum is σ = 18182423376. Its totient is φ = 1316044800.

The previous prime is 5008967959. The next prime is 5008968053. The reversal of 5008968000 is 8698005.

It can be written as a sum of positive squares in 8 ways, for example, as 1660725504 + 3348242496 = 40752^2 + 57864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5255524 + ... + 5256476.

Almost surely, 2^5008968000 is an apocalyptic number.

5008968000 is a gapful number since it is divisible by the number (50) 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 5008968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091211688).

5008968000 is an abundant number, since it is smaller than the sum of its proper divisors (13173455376).

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

5008968000 is a wasteful number, since it uses less digits than its factorization.

5008968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5008968000 is about 70774.0630457232. The cubic root of 5008968000 is about 1710.9976736828.

The spelling of 5008968000 in words is "five billion, eight million, nine hundred sixty-eight thousand".