1327958368512 has 144 divisors (see below), whose sum is σ = 3549593655552. Its totient is φ = 440742297600.

The previous prime is 1327958368511. The next prime is 1327958368553. The reversal of 1327958368512 is 2158638597231.

It is not an unprimeable number, because it can be changed into a prime (1327958368511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183238873 + ... + 183246119.

Almost surely, 2^{1327958368512} is an apocalyptic number.

1327958368512 is a gapful number since it is divisible by the number (12) 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 1327958368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774796827776).

1327958368512 is an abundant number, since it is smaller than the sum of its proper divisors (2221635287040).

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

1327958368512 is an equidigital number, since it uses as much as digits as its factorization.

1327958368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8250 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 1327958368512 in words is "one trillion, three hundred twenty-seven billion, nine hundred fifty-eight million, three hundred sixty-eight thousand, five hundred twelve".