3085717708800 has 2016 divisors, whose sum is σ = 12663833569920. Its totient is φ = 713451110400.

The previous prime is 3085717708769. The next prime is 3085717708813. The reversal of 3085717708800 is 88077175803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42270105564 + ... + 42270105636.

Almost surely, 2^{3085717708800} is an apocalyptic number.

3085717708800 is a gapful number since it is divisible by the number (30) 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 3085717708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331916784960).

3085717708800 is an abundant number, since it is smaller than the sum of its proper divisors (9578115861120).

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

3085717708800 is a wasteful number, since it uses less digits than its factorization.

3085717708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 3085717708800 in words is "three trillion, eighty-five billion, seven hundred seventeen million, seven hundred eight thousand, eight hundred".