13959916342560 has 288 divisors, whose sum is σ = 48519736207488. Its totient is φ = 3654242242560.

The previous prime is 13959916342543. The next prime is 13959916342583. The reversal of 13959916342560 is 6524361995931.

13959916342560 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 9 + 9 + 1 + 63 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21865629 + ... + 22495011.

It is an arithmetic number, because the mean of its divisors is an integer number (168471306276).

Almost surely, 2^{13959916342560} is an apocalyptic number.

13959916342560 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 13959916342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259868103744).

13959916342560 is an abundant number, since it is smaller than the sum of its proper divisors (34559819864928).

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

13959916342560 is a wasteful number, since it uses less digits than its factorization.

13959916342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629688 (or 629677 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 13959916342560 in words is "thirteen trillion, nine hundred fifty-nine billion, nine hundred sixteen million, three hundred forty-two thousand, five hundred sixty".