1329520612704 has 48 divisors (see below), whose sum is σ = 3497158038528. Its totient is φ = 442263514752.

The previous prime is 1329520612703. The next prime is 1329520612711. The reversal of 1329520612704 is 4072160259231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1329520612704³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329520612703) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14172112 + ... + 14265615.

It is an arithmetic number, because the mean of its divisors is an integer number (72857459136).

Almost surely, 2^{1329520612704} is an apocalyptic number.

It is an amenable number.

1329520612704 is an abundant number, since it is smaller than the sum of its proper divisors (2167637425824).

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

1329520612704 is a wasteful number, since it uses less digits than its factorization.

1329520612704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28438227 (or 28438219 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1329520612704 in words is "one trillion, three hundred twenty-nine billion, five hundred twenty million, six hundred twelve thousand, seven hundred four".