5758048800 has 648 divisors, whose sum is σ = 24891375600. Its totient is φ = 1245404160.

The previous prime is 5758048799. The next prime is 5758048811. The reversal of 5758048800 is 88408575.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6702771 + ... + 6703629.

Almost surely, 2^5758048800 is an apocalyptic number.

5758048800 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 5758048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445687800).

5758048800 is an abundant number, since it is smaller than the sum of its proper divisors (19133326800).

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

5758048800 is a wasteful number, since it uses less digits than its factorization.

5758048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5758048800 is about 75881.8080965392. The cubic root of 5758048800 is about 1792.3594656487.

The spelling of 5758048800 in words is "five billion, seven hundred fifty-eight million, forty-eight thousand, eight hundred".