13026881117880 has 1024 divisors, whose sum is σ = 52643826892800. Its totient is φ = 2801201356800.

The previous prime is 13026881117797. The next prime is 13026881117909. The reversal of 13026881117880 is 8871118862031.

13026881117880 is a `hidden beast` number, since 1 + 302 + 6 + 88 + 11 + 178 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2704353232 + ... + 2704358048.

It is an arithmetic number, because the mean of its divisors is an integer number (51409987200).

Almost surely, 2^{13026881117880} is an apocalyptic number.

13026881117880 is a gapful number since it is divisible by the number (10) 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 13026881117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321913446400).

13026881117880 is an abundant number, since it is smaller than the sum of its proper divisors (39616945774920).

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

13026881117880 is a wasteful number, since it uses less digits than its factorization.

13026881117880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 13026881117880 in words is "thirteen trillion, twenty-six billion, eight hundred eighty-one million, one hundred seventeen thousand, eight hundred eighty".