328312126560 has 576 divisors, whose sum is σ = 1182869194752. Its totient is φ = 76461158400.

The previous prime is 328312126523. The next prime is 328312126573. The reversal of 328312126560 is 65621213823.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2396438812 + ... + 2396438948.

It is an arithmetic number, because the mean of its divisors is an integer number (2053592352).

Almost surely, 2^328312126560 is an apocalyptic number.

328312126560 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 328312126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591434597376).

328312126560 is an abundant number, since it is smaller than the sum of its proper divisors (854557068192).

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

328312126560 is an equidigital number, since it uses as much as digits as its factorization.

328312126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 328312126560 in words is "three hundred twenty-eight billion, three hundred twelve million, one hundred twenty-six thousand, five hundred sixty".