5018889600 has 720 divisors, whose sum is σ = 19967998380. Its totient is φ = 1240842240.

The previous prime is 5018889569. The next prime is 5018889607. The reversal of 5018889600 is 69888105.

5018889600 is a `hidden beast` number, since 501 + 8 + 8 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5018889607) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 74908767 + ... + 74908833.

Almost surely, 2^5018889600 is an apocalyptic number.

5018889600 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 5018889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983999190).

5018889600 is an abundant number, since it is smaller than the sum of its proper divisors (14949108780).

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

5018889600 is a wasteful number, since it uses less digits than its factorization.

5018889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 5018889600 is about 70844.1218450762. The cubic root of 5018889600 is about 1712.1266246925.

The spelling of 5018889600 in words is "five billion, eighteen million, eight hundred eighty-nine thousand, six hundred".