5188144500 has 1152 divisors, whose sum is σ = 22945628160. Its totient is φ = 997920000.

The previous prime is 5188144483. The next prime is 5188144501. The reversal of 5188144500 is 54418815.

5188144500 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 144 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188144501) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 167359485 + ... + 167359515.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^5188144500 is an apocalyptic number.

5188144500 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 5188144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472814080).

5188144500 is an abundant number, since it is smaller than the sum of its proper divisors (17757483660).

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

5188144500 is a wasteful number, since it uses less digits than its factorization.

5188144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5188144500 is about 72028.7754997959. The cubic root of 5188144500 is about 1731.1605809055.

The spelling of 5188144500 in words is "five billion, one hundred eighty-eight million, one hundred forty-four thousand, five hundred".