13280485177600 has 81 divisors (see below), whose sum is σ = 32871997511283. Its totient is φ = 5312077455360.

The previous prime is 13280485177523. The next prime is 13280485177637. The reversal of 13280485177600 is 677158408231.

The square root of 13280485177600 is 3644240.

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

It can be written as a sum of positive squares in 4 ways, for example, as 301585492224 + 12978899685376 = 549168^2 + 3602624^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 291516424 + ... + 291561976.

Almost surely, 2^{13280485177600} is an apocalyptic number.

13280485177600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13280485177600 is the 3644240-th square number.

It is an amenable number.

13280485177600 is an abundant number, since it is smaller than the sum of its proper divisors (19591512333683).

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

13280485177600 is an frugal number, since it uses more digits than its factorization.

13280485177600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91132 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 13280485177600 in words is "thirteen trillion, two hundred eighty billion, four hundred eighty-five million, one hundred seventy-seven thousand, six hundred".