13265997730560 has 720 divisors, whose sum is σ = 50342420310336. Its totient is φ = 3324073476096.

The previous prime is 13265997730523. The next prime is 13265997730567. The reversal of 13265997730560 is 6503779956231.

13265997730560 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 599 + 7 + 7 + 30 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (13265997730567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1140370504 + ... + 1140382136.

Almost surely, 2^{13265997730560} is an apocalyptic number.

13265997730560 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 13265997730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25171210155168).

13265997730560 is an abundant number, since it is smaller than the sum of its proper divisors (37076422579776).

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

13265997730560 is a wasteful number, since it uses less digits than its factorization.

13265997730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12330 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 13265997730560 in words is "thirteen trillion, two hundred sixty-five billion, nine hundred ninety-seven million, seven hundred thirty thousand, five hundred sixty".