13726456320 has 160 divisors (see below), whose sum is σ = 45395665920. Its totient is φ = 3534110720.

The previous prime is 13726456313. The next prime is 13726456333. The reversal of 13726456320 is 2365462731.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191905 + ... + 253535.

It is an arithmetic number, because the mean of its divisors is an integer number (283722912).

Almost surely, 2^13726456320 is an apocalyptic number.

13726456320 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 13726456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697832960).

13726456320 is an abundant number, since it is smaller than the sum of its proper divisors (31669209600).

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

13726456320 is an equidigital number, since it uses as much as digits as its factorization.

13726456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61686 (or 61670 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 13726456320 in words is "thirteen billion, seven hundred twenty-six million, four hundred fifty-six thousand, three hundred twenty".