13520093673024 has 441 divisors, whose sum is σ = 41730993432817. Its totient is φ = 4343881747968.

The previous prime is 13520093672993. The next prime is 13520093673041. The reversal of 13520093673024 is 42037639002531.

The square root of 13520093673024 is 3676968.

It is a perfect power (a square), and thus also a powerful number.

13520093673024 is a `hidden beast` number, since 1 + 3 + 520 + 0 + 9 + 36 + 73 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7089609167424 + 6430484505600 = 2662632^2 + 2535840^2 .

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 23032527259 + ... + 23032527845.

Almost surely, 2^{13520093673024} is an apocalyptic number.

13520093673024 is the 3676968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520093673024

13520093673024 is an abundant number, since it is smaller than the sum of its proper divisors (28210899759793).

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

13520093673024 is an frugal number, since it uses more digits than its factorization.

13520093673024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 621 counting only the distinct ones).

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

The spelling of 13520093673024 in words is "thirteen trillion, five hundred twenty billion, ninety-three million, six hundred seventy-three thousand, twenty-four".