13126728888 has 384 divisors, whose sum is σ = 46126540800. Its totient is φ = 3385234944.

The previous prime is 13126728859. The next prime is 13126728907. The reversal of 13126728888 is 88882762131.

It is a super-2 number, since 2×13126728888² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12009270 + ... + 12010362.

It is an arithmetic number, because the mean of its divisors is an integer number (120121200).

Almost surely, 2^13126728888 is an apocalyptic number.

13126728888 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 13126728888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063270400).

13126728888 is an abundant number, since it is smaller than the sum of its proper divisors (32999811912).

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

13126728888 is a wasteful number, since it uses less digits than its factorization.

13126728888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1165 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 13126728888 in words is "thirteen billion, one hundred twenty-six million, seven hundred twenty-eight thousand, eight hundred eighty-eight".