13357127936000 has 768 divisors, whose sum is σ = 36038125730880. Its totient is φ = 4923693465600.

The previous prime is 13357127935981. The next prime is 13357127936023. The reversal of 13357127936000 is 63972175331.

It can be written as a sum of positive squares in 32 ways, for example, as 4899174974464 + 8457952961536 = 2213408^2 + 2908256^2 .

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 63 ways as a sum of consecutive naturals, for example, 77208831914 + ... + 77208832086.

Almost surely, 2^{13357127936000} is an apocalyptic number.

13357127936000 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 13357127936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019062865440).

13357127936000 is an abundant number, since it is smaller than the sum of its proper divisors (22680997794880).

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

13357127936000 is a wasteful number, since it uses less digits than its factorization.

13357127936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 47.

The spelling of 13357127936000 in words is "thirteen trillion, three hundred fifty-seven billion, one hundred twenty-seven million, nine hundred thirty-six thousand".