5009844000 has 768 divisors, whose sum is σ = 20479979520. Its totient is φ = 1045094400.

The previous prime is 5009843987. The next prime is 5009844011. The reversal of 5009844000 is 4489005.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 68627964 + ... + 68628036.

It is an arithmetic number, because the mean of its divisors is an integer number (26666640).

Almost surely, 2^5009844000 is an apocalyptic number.

5009844000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5009844000 is the 57792-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239989760).

5009844000 is an abundant number, since it is smaller than the sum of its proper divisors (15470135520).

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

5009844000 is a wasteful number, since it uses less digits than its factorization.

5009844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5009844000 is about 70780.2514830231. The cubic root of 5009844000 is about 1711.0974112332.

The spelling of 5009844000 in words is "five billion, nine million, eight hundred forty-four thousand".