13320607259232 has 1152 divisors, whose sum is σ = 51667667251200. Its totient is φ = 3275815550976.

The previous prime is 13320607259159. The next prime is 13320607259237. The reversal of 13320607259232 is 23295270602331.

13320607259232 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 607 + 2 + 5 + 9 + 2 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320607259237) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1311207369 + ... + 1311217527.

It is an arithmetic number, because the mean of its divisors is an integer number (44850405600).

Almost surely, 2^{13320607259232} is an apocalyptic number.

13320607259232 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 13320607259232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833833625600).

13320607259232 is an abundant number, since it is smaller than the sum of its proper divisors (38347059991968).

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

13320607259232 is a wasteful number, since it uses less digits than its factorization.

13320607259232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13320607259232 in words is "thirteen trillion, three hundred twenty billion, six hundred seven million, two hundred fifty-nine thousand, two hundred thirty-two".