5189620800 has 504 divisors, whose sum is σ = 21149438016. Its totient is φ = 1084907520.

The previous prime is 5189620781. The next prime is 5189620817. The reversal of 5189620800 is 80269815.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 71 ways as a sum of consecutive naturals, for example, 47611146 + ... + 47611254.

Almost surely, 2^5189620800 is an apocalyptic number.

5189620800 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 5189620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574719008).

5189620800 is an abundant number, since it is smaller than the sum of its proper divisors (15959817216).

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

5189620800 is a wasteful number, since it uses less digits than its factorization.

5189620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 5189620800 is about 72039.0227585022. The cubic root of 5189620800 is about 1731.3247674140.

The spelling of 5189620800 in words is "five billion, one hundred eighty-nine million, six hundred twenty thousand, eight hundred".