5038404800 has 504 divisors, whose sum is σ = 15623968752. Its totient is φ = 1575936000.

The previous prime is 5038404793. The next prime is 5038404803. The reversal of 5038404800 is 84048305.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5038404803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82596770 + ... + 82596830.

It is an arithmetic number, because the mean of its divisors is an integer number (30999938).

Almost surely, 2^5038404800 is an apocalyptic number.

5038404800 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 5038404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811984376).

5038404800 is an abundant number, since it is smaller than the sum of its proper divisors (10585563952).

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

5038404800 is a wasteful number, since it uses less digits than its factorization.

5038404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 5038404800 is about 70981.7215908434. The cubic root of 5038404800 is about 1714.3428705811.

The spelling of 5038404800 in words is "five billion, thirty-eight million, four hundred four thousand, eight hundred".