5089128000 has 448 divisors, whose sum is σ = 18863559936. Its totient is φ = 1198080000.

The previous prime is 5089127987. The next prime is 5089128019. The reversal of 5089128000 is 8219805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 9767740 + ... + 9768260.

Almost surely, 2^5089128000 is an apocalyptic number.

5089128000 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 5089128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9431779968).

5089128000 is an abundant number, since it is smaller than the sum of its proper divisors (13774431936).

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

5089128000 is a wasteful number, since it uses less digits than its factorization.

5089128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5089128000 is about 71338.1244496938. The cubic root of 5089128000 is about 1720.0766145790.

The spelling of 5089128000 in words is "five billion, eighty-nine million, one hundred twenty-eight thousand".