5785381324800 has 3456 divisors, whose sum is σ = 27467729452800. Its totient is φ = 1182449664000.

The previous prime is 5785381324783. The next prime is 5785381324871. The reversal of 5785381324800 is 84231835875.

5785381324800 is a `hidden beast` number, since 5 + 7 + 8 + 53 + 81 + 32 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 94842316770 + ... + 94842316830.

Almost surely, 2^{5785381324800} is an apocalyptic number.

5785381324800 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 5785381324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733864726400).

5785381324800 is an abundant number, since it is smaller than the sum of its proper divisors (21682348128000).

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

5785381324800 is an equidigital number, since it uses as much as digits as its factorization.

5785381324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5785381324800 in words is "five trillion, seven hundred eighty-five billion, three hundred eighty-one million, three hundred twenty-four thousand, eight hundred".