13426068505600 has 99 divisors (see below), whose sum is σ = 33281845056271. Its totient is φ = 5370192896000.

The previous prime is 13426068505583. The next prime is 13426068505613. The reversal of 13426068505600 is 650586062431.

The square root of 13426068505600 is 3664160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3213902365696 + 10212166139904 = 1792736^2 + 3195648^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 586254150 + ... + 586277050.

Almost surely, 2^{13426068505600} is an apocalyptic number.

13426068505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13426068505600 is the 3664160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13426068505600

13426068505600 is an abundant number, since it is smaller than the sum of its proper divisors (19855776550671).

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

13426068505600 is an frugal number, since it uses more digits than its factorization.

13426068505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45832 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 13426068505600 in words is "thirteen trillion, four hundred twenty-six billion, sixty-eight million, five hundred five thousand, six hundred".