329085390960000 has 480 divisors, whose sum is σ = 1205670441895920. Its totient is φ = 86100318720000.

The previous prime is 329085390959999. The next prime is 329085390960019. The reversal of 329085390960000 is 69093580923.

329085390960000 is a `hidden beast` number, since 3 + 2 + 90 + 85 + 390 + 96 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33848085 + ... + 42471915.

Almost surely, 2^{329085390960000} is an apocalyptic number.

329085390960000 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 329085390960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602835220947960).

329085390960000 is an abundant number, since it is smaller than the sum of its proper divisors (876585050935920).

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

329085390960000 is an equidigital number, since it uses as much as digits as its factorization.

329085390960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623924 (or 8623894 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 329085390960000 in words is "three hundred twenty-nine trillion, eighty-five billion, three hundred ninety million, nine hundred sixty thousand".