5013816000 has 448 divisors, whose sum is σ = 17893564416. Its totient is φ = 1233408000.

The previous prime is 5013815999. The next prime is 5013816013. The reversal of 5013816000 is 6183105.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 17111854 + ... + 17112146.

It is an arithmetic number, because the mean of its divisors is an integer number (39940992).

Almost surely, 2^5013816000 is an apocalyptic number.

5013816000 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 5013816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946782208).

5013816000 is an abundant number, since it is smaller than the sum of its proper divisors (12879748416).

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

5013816000 is a wasteful number, since it uses less digits than its factorization.

5013816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5013816000 is about 70808.3045976953. The cubic root of 5013816000 is about 1711.5495000631.

Adding to 5013816000 its reverse (6183105), we get a palindrome (5019999105).

The spelling of 5013816000 in words is "five billion, thirteen million, eight hundred sixteen thousand".