13719351200256 has 480 divisors, whose sum is σ = 44270145279360. Its totient is φ = 4216555782144.

The previous prime is 13719351200251. The next prime is 13719351200267. The reversal of 13719351200256 is 65200215391731.

13719351200256 is a `hidden beast` number, since 1 + 3 + 7 + 193 + 5 + 1 + 200 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (13719351200251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1589907750 + ... + 1589916378.

It is an arithmetic number, because the mean of its divisors is an integer number (92229469332).

Almost surely, 2^{13719351200256} is an apocalyptic number.

13719351200256 is a gapful number since it is divisible by the number (16) 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 13719351200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135072639680).

13719351200256 is an abundant number, since it is smaller than the sum of its proper divisors (30550794079104).

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

13719351200256 is an frugal number, since it uses more digits than its factorization.

13719351200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

Adding to 13719351200256 its reverse (65200215391731), we get a palindrome (78919566591987).

The spelling of 13719351200256 in words is "thirteen trillion, seven hundred nineteen billion, three hundred fifty-one million, two hundred thousand, two hundred fifty-six".