5052844800 has 648 divisors, whose sum is σ = 19796180880. Its totient is φ = 1276508160.

The previous prime is 5052844789. The next prime is 5052844813. The reversal of 5052844800 is 84482505.

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.

5052844800 is a `hidden beast` number, since 50 + 52 + 84 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265939191 + ... + 265939209.

Almost surely, 2^5052844800 is an apocalyptic number.

5052844800 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 5052844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9898090440).

5052844800 is an abundant number, since it is smaller than the sum of its proper divisors (14743336080).

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

5052844800 is an frugal number, since it uses more digits than its factorization.

5052844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 5052844800 is about 71083.3651426267. The cubic root of 5052844800 is about 1715.9790696259.

It can be divided in two parts, 505 and 2844800, that added together give a triangular number (2845305 = T₂₃₈₅).

The spelling of 5052844800 in words is "five billion, fifty-two million, eight hundred forty-four thousand, eight hundred".