13915585383680 has 144 divisors (see below), whose sum is σ = 35090892446400. Its totient is φ = 5272614420480.

The previous prime is 13915585383647. The next prime is 13915585383761. The reversal of 13915585383680 is 8638358551931.

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 15 ways as a sum of consecutive naturals, for example, 222764291 + ... + 222826749.

It is an arithmetic number, because the mean of its divisors is an integer number (243686753100).

Almost surely, 2^{13915585383680} is an apocalyptic number.

13915585383680 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 13915585383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545446223200).

13915585383680 is an abundant number, since it is smaller than the sum of its proper divisors (21175307062720).

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

13915585383680 is an equidigital number, since it uses as much as digits as its factorization.

13915585383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71660 (or 71646 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 65.

The spelling of 13915585383680 in words is "thirteen trillion, nine hundred fifteen billion, five hundred eighty-five million, three hundred eighty-three thousand, six hundred eighty".