5753853600 has 288 divisors, whose sum is σ = 21508623360. Its totient is φ = 1321344000.

The previous prime is 5753853577. The next prime is 5753853601. The reversal of 5753853600 is 63583575.

It is not an unprimeable number, because it can be changed into a prime (5753853601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495865 + ... + 507335.

It is an arithmetic number, because the mean of its divisors is an integer number (74682720).

Almost surely, 2^5753853600 is an apocalyptic number.

5753853600 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 5753853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754311680).

5753853600 is an abundant number, since it is smaller than the sum of its proper divisors (15754769760).

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

5753853600 is a wasteful number, since it uses less digits than its factorization.

5753853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 5753853600 is about 75854.1600704932. The cubic root of 5753853600 is about 1791.9240673873.

The spelling of 5753853600 in words is "five billion, seven hundred fifty-three million, eight hundred fifty-three thousand, six hundred".