13360665628800 has 576 divisors, whose sum is σ = 56853386328960. Its totient is φ = 2921088614400.

The previous prime is 13360665628787. The next prime is 13360665628829. The reversal of 13360665628800 is 882656606331.

It is a happy number.

13360665628800 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 0 + 6 + 6 + 5 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3196080 + ... + 6077520.

It is an arithmetic number, because the mean of its divisors is an integer number (98703795710).

Almost surely, 2^{13360665628800} is an apocalyptic number.

13360665628800 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 13360665628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28426693164480).

13360665628800 is an abundant number, since it is smaller than the sum of its proper divisors (43492720700160).

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

13360665628800 is a wasteful number, since it uses less digits than its factorization.

13360665628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881501 (or 2881481 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13360665628800 in words is "thirteen trillion, three hundred sixty billion, six hundred sixty-five million, six hundred twenty-eight thousand, eight hundred".