13328032795632 has 120 divisors (see below), whose sum is σ = 37957208053440. Its totient is φ = 4364573207040.

The previous prime is 13328032795523. The next prime is 13328032795657. The reversal of 13328032795632 is 23659723082331.

13328032795632 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 0 + 3 + 2 + 79 + 563 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6366793 + ... + 8197079.

It is an arithmetic number, because the mean of its divisors is an integer number (316310067112).

Almost surely, 2^{13328032795632} is an apocalyptic number.

13328032795632 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 13328032795632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978604026720).

13328032795632 is an abundant number, since it is smaller than the sum of its proper divisors (24629175257808).

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

13328032795632 is a wasteful number, since it uses less digits than its factorization.

13328032795632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831191 (or 1831182 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13328032795632 in words is "thirteen trillion, three hundred twenty-eight billion, thirty-two million, seven hundred ninety-five thousand, six hundred thirty-two".