6612608085000 has 160 divisors (see below), whose sum is σ = 20662358428800. Its totient is φ = 1762972000000.

The previous prime is 6612608084993. The next prime is 6612608085049. The reversal of 6612608085000 is 5808062166.

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 39 ways as a sum of consecutive naturals, for example, 71218606 + ... + 71311394.

It is an arithmetic number, because the mean of its divisors is an integer number (129139740180).

Almost surely, 2^{6612608085000} is an apocalyptic number.

6612608085000 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 6612608085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10331179214400).

6612608085000 is an abundant number, since it is smaller than the sum of its proper divisors (14049750343800).

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

6612608085000 is a wasteful number, since it uses less digits than its factorization.

6612608085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97569 (or 97550 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 6612608085000 in words is "six trillion, six hundred twelve billion, six hundred eight million, eighty-five thousand".