5039782400 has 120 divisors (see below), whose sum is σ = 12917973420. Its totient is φ = 1946255360.

The previous prime is 5039782399. The next prime is 5039782409. The reversal of 5039782400 is 42879305.

It can be written as a sum of positive squares in 6 ways, for example, as 3352873216 + 1686909184 = 57904^2 + 41072^2 .

It is not an unprimeable number, because it can be changed into a prime (5039782409) 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 11 ways as a sum of consecutive naturals, for example, 364412 + ... + 377988.

Almost surely, 2^5039782400 is an apocalyptic number.

5039782400 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 5039782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458986710).

5039782400 is an abundant number, since it is smaller than the sum of its proper divisors (7878191020).

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

5039782400 is a wasteful number, since it uses less digits than its factorization.

5039782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 5039782400 is about 70991.4248342714. The cubic root of 5039782400 is about 1714.4991014797.

The spelling of 5039782400 in words is "five billion, thirty-nine million, seven hundred eighty-two thousand, four hundred".