13065211786428 has 144 divisors (see below), whose sum is σ = 33928655525856. Its totient is φ = 4236655288320.

The previous prime is 13065211786421. The next prime is 13065211786489. The reversal of 13065211786428 is 82468711256031.

It is a happy number.

13065211786428 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 521 + 1 + 78 + 6 + 42 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065211786421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263921676 + ... + 1263932012.

It is an arithmetic number, because the mean of its divisors is an integer number (235615663374).

Almost surely, 2^{13065211786428} is an apocalyptic number.

13065211786428 is a gapful number since it is divisible by the number (18) 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 13065211786428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964327762928).

13065211786428 is an abundant number, since it is smaller than the sum of its proper divisors (20863443739428).

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

13065211786428 is a wasteful number, since it uses less digits than its factorization.

13065211786428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13065211786428 in words is "thirteen trillion, sixty-five billion, two hundred eleven million, seven hundred eighty-six thousand, four hundred twenty-eight".