5188800000 has 480 divisors, whose sum is σ = 18412821504. Its totient is φ = 1295360000.

The previous prime is 5188799999. The next prime is 5188800013. The reversal of 5188800000 is 88815.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 110399977 + ... + 110400023.

Almost surely, 2^5188800000 is an apocalyptic number.

5188800000 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 5188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206410752).

5188800000 is an abundant number, since it is smaller than the sum of its proper divisors (13224021504).

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

5188800000 is an frugal number, since it uses more digits than its factorization.

5188800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 5188800000 is about 72033.3256208541. The cubic root of 5188800000 is about 1731.2334860950.

Adding to 5188800000 its reverse (88815), we get a palindrome (5188888815).

The spelling of 5188800000 in words is "five billion, one hundred eighty-eight million, eight hundred thousand".