5188848000 has 256 divisors, whose sum is σ = 19659594240. Its totient is φ = 1185945600.

The previous prime is 5188847999. The next prime is 5188848023. The reversal of 5188848000 is 8488815.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 328279 + ... + 343721.

It is an arithmetic number, because the mean of its divisors is an integer number (76795290).

Almost surely, 2^5188848000 is an apocalyptic number.

5188848000 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 5188848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829797120).

5188848000 is an abundant number, since it is smaller than the sum of its proper divisors (14470746240).

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

5188848000 is a wasteful number, since it uses less digits than its factorization.

5188848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 5188848000 is about 72033.6587992030. The cubic root of 5188848000 is about 1731.2388244488.

The spelling of 5188848000 in words is "five billion, one hundred eighty-eight million, eight hundred forty-eight thousand".