5852800800 has 1728 divisors, whose sum is σ = 29482113024. Its totient is φ = 1094860800.

The previous prime is 5852800781. The next prime is 5852800801. The reversal of 5852800800 is 80082585.

5852800800 is a `hidden beast` number, since 58 + 528 + 0 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852800801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 254469589 + ... + 254469611.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^5852800800 is an apocalyptic number.

5852800800 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 5852800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741056512).

5852800800 is an abundant number, since it is smaller than the sum of its proper divisors (23629312224).

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

5852800800 is a wasteful number, since it uses less digits than its factorization.

5852800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5852800800 is about 76503.5999152981. The cubic root of 5852800800 is about 1802.1374608072.

The spelling of 5852800800 in words is "five billion, eight hundred fifty-two million, eight hundred thousand, eight hundred".