6005046808800 has 1728 divisors, whose sum is σ = 24818206533120. Its totient is φ = 1353427107840.

The previous prime is 6005046808793. The next prime is 6005046808861. The reversal of 6005046808800 is 88086405006.

6005046808800 is a `hidden beast` number, since 6 + 0 + 0 + 504 + 68 + 0 + 8 + 80 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 17305610227 + ... + 17305610573.

It is an arithmetic number, because the mean of its divisors is an integer number (14362388040).

Almost surely, 2^{6005046808800} is an apocalyptic number.

6005046808800 is a gapful number since it is divisible by the number (60) 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 6005046808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409103266560).

6005046808800 is an abundant number, since it is smaller than the sum of its proper divisors (18813159724320).

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

6005046808800 is a wasteful number, since it uses less digits than its factorization.

6005046808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6005046808800 in words is "six trillion, five billion, forty-six million, eight hundred eight thousand, eight hundred".