13220405658528 has 24 divisors (see below), whose sum is σ = 34703564853888. Its totient is φ = 4406801886144.

The previous prime is 13220405658419. The next prime is 13220405658563. The reversal of 13220405658528 is 82585650402231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13220405658528² (a number of 27 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 68856279376 + ... + 68856279567.

It is an arithmetic number, because the mean of its divisors is an integer number (1445981868912).

Almost surely, 2^{13220405658528} is an apocalyptic number.

It is an amenable number.

13220405658528 is an abundant number, since it is smaller than the sum of its proper divisors (21483159195360).

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

13220405658528 is a wasteful number, since it uses less digits than its factorization.

13220405658528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137712558956 (or 137712558948 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 13220405658528 in words is "thirteen trillion, two hundred twenty billion, four hundred five million, six hundred fifty-eight thousand, five hundred twenty-eight".