13266840998880 has 1440 divisors, whose sum is σ = 56171844036000. Its totient is φ = 2938094788608.

The previous prime is 13266840998821. The next prime is 13266840998911. The reversal of 13266840998880 is 8889904866231.

13266840998880 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 68 + 409 + 9 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13266840998880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13266840998799 and 13266840998808.

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 239 ways as a sum of consecutive naturals, for example, 6320552071 + ... + 6320554169.

It is an arithmetic number, because the mean of its divisors is an integer number (39008225025).

Almost surely, 2^{13266840998880} is an apocalyptic number.

13266840998880 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 13266840998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28085922018000).

13266840998880 is an abundant number, since it is smaller than the sum of its proper divisors (42905003037120).

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

13266840998880 is a wasteful number, since it uses less digits than its factorization.

13266840998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 13266840998880 in words is "thirteen trillion, two hundred sixty-six billion, eight hundred forty million, nine hundred ninety-eight thousand, eight hundred eighty".