1328523768000 has 2240 divisors, whose sum is σ = 5896089239040. Its totient is φ = 292253184000.

The previous prime is 1328523767953. The next prime is 1328523768049. The reversal of 1328523768000 is 8673258231.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 22517351971 + ... + 22517352029.

It is an arithmetic number, because the mean of its divisors is an integer number (2632182696).

Almost surely, 2^{1328523768000} is an apocalyptic number.

1328523768000 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 1328523768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948044619520).

1328523768000 is an abundant number, since it is smaller than the sum of its proper divisors (4567565471040).

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

1328523768000 is an frugal number, since it uses more digits than its factorization.

1328523768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1328523768000 in words is "one trillion, three hundred twenty-eight billion, five hundred twenty-three million, seven hundred sixty-eight thousand".