13185266185728 has 1280 divisors, whose sum is σ = 50383375257600. Its totient is φ = 3310859059200.

The previous prime is 13185266185727. The next prime is 13185266185747. The reversal of 13185266185728 is 82758166258131.

It is a happy number.

13185266185728 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 5 + 2 + 6 + 618 + 5 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185266185723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2663149653 + ... + 2663154603.

It is an arithmetic number, because the mean of its divisors is an integer number (39362011920).

Almost surely, 2^{13185266185728} is an apocalyptic number.

13185266185728 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 13185266185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25191687628800).

13185266185728 is an abundant number, since it is smaller than the sum of its proper divisors (37198109071872).

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

13185266185728 is a wasteful number, since it uses less digits than its factorization.

13185266185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5078 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 13185266185728 in words is "thirteen trillion, one hundred eighty-five billion, two hundred sixty-six million, one hundred eighty-five thousand, seven hundred twenty-eight".