5185939200 has 432 divisors, whose sum is σ = 18735467520. Its totient is φ = 1255587840.

The previous prime is 5185939183. The next prime is 5185939201. The reversal of 5185939200 is 29395815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185939201) 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 47 ways as a sum of consecutive naturals, for example, 19718269 + ... + 19718531.

Almost surely, 2^5185939200 is an apocalyptic number.

5185939200 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 5185939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367733760).

5185939200 is an abundant number, since it is smaller than the sum of its proper divisors (13549528320).

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

5185939200 is a wasteful number, since it uses less digits than its factorization.

5185939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 5185939200 is about 72013.4654075194. The cubic root of 5185939200 is about 1730.9152607347.

The spelling of 5185939200 in words is "five billion, one hundred eighty-five million, nine hundred thirty-nine thousand, two hundred".