5758875046800 has 1200 divisors, whose sum is σ = 22520634301440. Its totient is φ = 1405071360000.

The previous prime is 5758875046651. The next prime is 5758875046807. The reversal of 5758875046800 is 86405788575.

5758875046800 is a `hidden beast` number, since 5 + 7 + 588 + 7 + 5 + 0 + 46 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is not an unprimeable number, because it can be changed into a prime (5758875046807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2056005400 + ... + 2056008200.

Almost surely, 2^{5758875046800} is an apocalyptic number.

5758875046800 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 5758875046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260317150720).

5758875046800 is an abundant number, since it is smaller than the sum of its proper divisors (16761759254640).

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

5758875046800 is a wasteful number, since it uses less digits than its factorization.

5758875046800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 5758875046800 in words is "five trillion, seven hundred fifty-eight billion, eight hundred seventy-five million, forty-six thousand, eight hundred".