3085248928800 has 144 divisors (see below), whose sum is σ = 10047695656320. Its totient is φ = 822306186240.

The previous prime is 3085248928777. The next prime is 3085248928841. The reversal of 3085248928800 is 88298425803.

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 23 ways as a sum of consecutive naturals, for example, 4306681 + ... + 4971719.

It is an arithmetic number, because the mean of its divisors is an integer number (69775664280).

Almost surely, 2^{3085248928800} is an apocalyptic number.

3085248928800 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 3085248928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023847828160).

3085248928800 is an abundant number, since it is smaller than the sum of its proper divisors (6962446727520).

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

3085248928800 is a wasteful number, since it uses less digits than its factorization.

3085248928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666995 (or 666982 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 3085248928800 in words is "three trillion, eighty-five billion, two hundred forty-eight million, nine hundred twenty-eight thousand, eight hundred".