13126333409280 has 3456 divisors, whose sum is σ = 61744354963200. Its totient is φ = 2600529297408.

The previous prime is 13126333409279. The next prime is 13126333409323. The reversal of 13126333409280 is 8290433362131.

13126333409280 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 633 + 3 + 4 + 0 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 116162242504 + ... + 116162242616.

It is an arithmetic number, because the mean of its divisors is an integer number (17865843450).

Almost surely, 2^{13126333409280} is an apocalyptic number.

13126333409280 is a gapful number since it is divisible by the number (10) 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 13126333409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30872177481600).

13126333409280 is an abundant number, since it is smaller than the sum of its proper divisors (48618021553920).

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

13126333409280 is an equidigital number, since it uses as much as digits as its factorization.

13126333409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13126333409280 in words is "thirteen trillion, one hundred twenty-six billion, three hundred thirty-three million, four hundred nine thousand, two hundred eighty".