5753638800 has 810 divisors, whose sum is σ = 25281009702. Its totient is φ = 1207664640.

The previous prime is 5753638799. The next prime is 5753638811. The reversal of 5753638800 is 88363575.

5753638800 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 638 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 4381380864 + 1372257936 = 66192^2 + 37044^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 29811504 + ... + 29811696.

Almost surely, 2^5753638800 is an apocalyptic number.

5753638800 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 5753638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640504851).

5753638800 is an abundant number, since it is smaller than the sum of its proper divisors (19527370902).

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

5753638800 is a wasteful number, since it uses less digits than its factorization.

5753638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5753638800 is about 75852.7441823959. The cubic root of 5753638800 is about 1791.9017687039.

The spelling of 5753638800 in words is "five billion, seven hundred fifty-three million, six hundred thirty-eight thousand, eight hundred".