13387815936000 has 1344 divisors, whose sum is σ = 53953230606912. Its totient is φ = 3165388800000.

The previous prime is 13387815935971. The next prime is 13387815936037. The reversal of 13387815936000 is 63951878331.

13387815936000 is a `hidden beast` number, since 13 + 3 + 8 + 7 + 8 + 15 + 9 + 3 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4156414390 + ... + 4156417610.

It is an arithmetic number, because the mean of its divisors is an integer number (40143772773).

Almost surely, 2^{13387815936000} is an apocalyptic number.

13387815936000 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 13387815936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26976615303456).

13387815936000 is an abundant number, since it is smaller than the sum of its proper divisors (40565414670912).

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

13387815936000 is a wasteful number, since it uses less digits than its factorization.

13387815936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13387815936000 in words is "thirteen trillion, three hundred eighty-seven billion, eight hundred fifteen million, nine hundred thirty-six thousand".