13085281824 has 48 divisors (see below), whose sum is σ = 34832669760. Its totient is φ = 4300325120.

The previous prime is 13085281823. The next prime is 13085281829. The reversal of 13085281824 is 42818258031.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13085281823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 953079 + ... + 966710.

It is an arithmetic number, because the mean of its divisors is an integer number (725680620).

Almost surely, 2^13085281824 is an apocalyptic number.

It is an amenable number.

13085281824 is an abundant number, since it is smaller than the sum of its proper divisors (21747387936).

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

13085281824 is a wasteful number, since it uses less digits than its factorization.

13085281824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919873 (or 1919865 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 13085281824 in words is "thirteen billion, eighty-five million, two hundred eighty-one thousand, eight hundred twenty-four".