5080538400 has 288 divisors, whose sum is σ = 20012469120. Its totient is φ = 1092894720.

The previous prime is 5080538381. The next prime is 5080538401. The reversal of 5080538400 is 48350805.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5080538401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276706 + ... + 294494.

It is an arithmetic number, because the mean of its divisors is an integer number (69487740).

Almost surely, 2^5080538400 is an apocalyptic number.

5080538400 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 5080538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006234560).

5080538400 is an abundant number, since it is smaller than the sum of its proper divisors (14931930720).

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

5080538400 is a wasteful number, since it uses less digits than its factorization.

5080538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17836 (or 17823 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5080538400 is about 71277.8955918313. The cubic root of 5080538400 is about 1719.1083353805.

The spelling of 5080538400 in words is "five billion, eighty million, five hundred thirty-eight thousand, four hundred".