13584080025 has 96 divisors (see below), whose sum is σ = 26675792640. Its totient is φ = 6760512000.

The previous prime is 13584079987. The next prime is 13584080087. The reversal of 13584080025 is 52008048531.

It is a happy number.

13584080025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13584080025 - 2¹⁰ = 13584079001 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 625855 + ... + 647195.

It is an arithmetic number, because the mean of its divisors is an integer number (277872840).

Almost surely, 2^13584080025 is an apocalyptic number.

13584080025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13584080025 is a deficient number, since it is larger than the sum of its proper divisors (13091712615).

13584080025 is a wasteful number, since it uses less digits than its factorization.

13584080025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424 (or 21413 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13584080025 in words is "thirteen billion, five hundred eighty-four million, eighty thousand, twenty-five".