321180009496080 has 640 divisors, whose sum is σ = 1196934390153216. Its totient is φ = 69655454668800.

The previous prime is 321180009496051. The next prime is 321180009496091. The reversal of 321180009496080 is 80694900081123.

It is a super-3 number, since 3×321180009496080³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13398678495 + ... + 13398702465.

Almost surely, 2^{321180009496080} is an apocalyptic number.

321180009496080 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 321180009496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598467195076608).

321180009496080 is an abundant number, since it is smaller than the sum of its proper divisors (875754380657136).

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

321180009496080 is a wasteful number, since it uses less digits than its factorization.

321180009496080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26795 (or 26789 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 321180009496080 in words is "three hundred twenty-one trillion, one hundred eighty billion, nine million, four hundred ninety-six thousand, eighty".