1328775168000 has 608 divisors, whose sum is σ = 5056509040128. Its totient is φ = 303562752000.

The previous prime is 1328775167989. The next prime is 1328775168013. The reversal of 1328775168000 is 8615778231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688127035 + ... + 688128965.

Almost surely, 2^{1328775168000} is an apocalyptic number.

1328775168000 is a gapful number since it is divisible by the number (10) 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 1328775168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528254520064).

1328775168000 is an abundant number, since it is smaller than the sum of its proper divisors (3727733872128).

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

1328775168000 is an frugal number, since it uses more digits than its factorization.

1328775168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 1328775168000 in words is "one trillion, three hundred twenty-eight billion, seven hundred seventy-five million, one hundred sixty-eight thousand".