5038540800 has 144 divisors (see below), whose sum is σ = 16657215120. Its totient is φ = 1343569920.

The previous prime is 5038540789. The next prime is 5038540831. The reversal of 5038540800 is 80458305.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137199 + ... + 170001.

It is an arithmetic number, because the mean of its divisors is an integer number (115675105).

Almost surely, 2^5038540800 is an apocalyptic number.

5038540800 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 5038540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328607560).

5038540800 is an abundant number, since it is smaller than the sum of its proper divisors (11618674320).

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

5038540800 is a wasteful number, since it uses less digits than its factorization.

5038540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32838 (or 32813 counting only the distinct ones).

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

The square root of 5038540800 is about 70982.6795774857. The cubic root of 5038540800 is about 1714.3582953396.

The spelling of 5038540800 in words is "five billion, thirty-eight million, five hundred forty thousand, eight hundred".