5185039200 has 288 divisors, whose sum is σ = 19382509440. Its totient is φ = 1190707200.

The previous prime is 5185039193. The next prime is 5185039271. The reversal of 5185039200 is 29305815.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496432 + ... + 506768.

It is an arithmetic number, because the mean of its divisors is an integer number (67300380).

Almost surely, 2^5185039200 is an apocalyptic number.

5185039200 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 5185039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9691254720).

5185039200 is an abundant number, since it is smaller than the sum of its proper divisors (14197470240).

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

5185039200 is a wasteful number, since it uses less digits than its factorization.

5185039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5185039200 is about 72007.2163050343. The cubic root of 5185039200 is about 1730.8151236910.

The spelling of 5185039200 in words is "five billion, one hundred eighty-five million, thirty-nine thousand, two hundred".