5039759400 has 384 divisors, whose sum is σ = 17481381120. Its totient is φ = 1193287680.

The previous prime is 5039759369. The next prime is 5039759437. The reversal of 5039759400 is 49579305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30178117 + ... + 30178283.

It is an arithmetic number, because the mean of its divisors is an integer number (45524430).

Almost surely, 2^5039759400 is an apocalyptic number.

5039759400 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 5039759400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740690560).

5039759400 is an abundant number, since it is smaller than the sum of its proper divisors (12441621720).

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

5039759400 is a wasteful number, since it uses less digits than its factorization.

5039759400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 5039759400 is about 70991.2628426907. The cubic root of 5039759400 is about 1714.4964933288.

The spelling of 5039759400 in words is "five billion, thirty-nine million, seven hundred fifty-nine thousand, four hundred".