5785853908800 has 504 divisors, whose sum is σ = 23041684184256. Its totient is φ = 1264980541440.

The previous prime is 5785853908787. The next prime is 5785853908811. The reversal of 5785853908800 is 88093585875.

It is a super-2 number, since 2×5785853908800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4874824 + ... + 5944376.

Almost surely, 2^{5785853908800} is an apocalyptic number.

5785853908800 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 5785853908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520842092128).

5785853908800 is an abundant number, since it is smaller than the sum of its proper divisors (17255830275456).

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

5785853908800 is a wasteful number, since it uses less digits than its factorization.

5785853908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069615 (or 1069593 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 66.

The spelling of 5785853908800 in words is "five trillion, seven hundred eighty-five billion, eight hundred fifty-three million, nine hundred eight thousand, eight hundred".