13065290784 has 144 divisors (see below), whose sum is σ = 45728609472. Its totient is φ = 3445784064.

The previous prime is 13065290773. The next prime is 13065290827. The reversal of 13065290784 is 48709256031.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223054 + ... + 275469.

It is an arithmetic number, because the mean of its divisors is an integer number (317559788).

It is a 1-persistent number, because it is pandigital, but 2⋅13065290784 = 26130581568 is not.

Almost surely, 2^13065290784 is an apocalyptic number.

13065290784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13065290784 is an abundant number, since it is smaller than the sum of its proper divisors (32663318688).

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

13065290784 is a wasteful number, since it uses less digits than its factorization.

13065290784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498559 (or 498548 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13065290784 in words is "thirteen billion, sixty-five million, two hundred ninety thousand, seven hundred eighty-four".