5024385600 has 336 divisors, whose sum is σ = 18011680512. Its totient is φ = 1218723840.

The previous prime is 5024385599. The next prime is 5024385607. The reversal of 5024385600 is 65834205.

It is not an unprimeable number, because it can be changed into a prime (5024385607) 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, 4554649 + ... + 4555751.

It is an arithmetic number, because the mean of its divisors is an integer number (53606192).

Almost surely, 2^5024385600 is an apocalyptic number.

5024385600 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 5024385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005840256).

5024385600 is an abundant number, since it is smaller than the sum of its proper divisors (12987294912).

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

5024385600 is a wasteful number, since it uses less digits than its factorization.

5024385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5024385600 is about 70882.9006178500. The cubic root of 5024385600 is about 1712.7513588452.

The spelling of 5024385600 in words is "five billion, twenty-four million, three hundred eighty-five thousand, six hundred".