1328590070880 has 192 divisors, whose sum is σ = 4334014641600. Its totient is φ = 341706874880.

The previous prime is 1328590070831. The next prime is 1328590070963. The reversal of 1328590070880 is 880700958231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13048006 + ... + 13149434.

It is an arithmetic number, because the mean of its divisors is an integer number (22572992925).

Almost surely, 2^{1328590070880} is an apocalyptic number.

1328590070880 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 1328590070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167007320800).

1328590070880 is an abundant number, since it is smaller than the sum of its proper divisors (3005424570720).

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

1328590070880 is a wasteful number, since it uses less digits than its factorization.

1328590070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102417 (or 102409 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1328590070880 in words is "one trillion, three hundred twenty-eight billion, five hundred ninety million, seventy thousand, eight hundred eighty".