5084352800 has 54 divisors (see below), whose sum is σ = 12417101739. Its totient is φ = 2032934400.

The previous prime is 5084352773. The next prime is 5084352803. The reversal of 5084352800 is 82534805.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65480464 + 5018872336 = 8092^2 + 70844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=50420.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5084352803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2015540 + ... + 2018060.

Almost surely, 2^5084352800 is an apocalyptic number.

5084352800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5084352800 is an abundant number, since it is smaller than the sum of its proper divisors (7332748939).

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

5084352800 is an frugal number, since it uses more digits than its factorization.

5084352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 5084352800 is about 71304.6478148515. The cubic root of 5084352800 is about 1719.5384555726.

The spelling of 5084352800 in words is "five billion, eighty-four million, three hundred fifty-two thousand, eight hundred".