13082523425280 has 1280 divisors, whose sum is σ = 48704882688000. Its totient is φ = 3367676362752.

The previous prime is 13082523425273. The next prime is 13082523425281. The reversal of 13082523425280 is 8252432528031.

13082523425280 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 523 + 42 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (13082523425281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 21840606421 + ... + 21840607019.

It is an arithmetic number, because the mean of its divisors is an integer number (38050689600).

Almost surely, 2^{13082523425280} is an apocalyptic number.

13082523425280 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 13082523425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352441344000).

13082523425280 is an abundant number, since it is smaller than the sum of its proper divisors (35622359262720).

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

13082523425280 is an frugal number, since it uses more digits than its factorization.

13082523425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 13082523425280 in words is "thirteen trillion, eighty-two billion, five hundred twenty-three million, four hundred twenty-five thousand, two hundred eighty".