13566566797056 has 2592 divisors, whose sum is σ = 55050160488960. Its totient is φ = 3291294892032.

The previous prime is 13566566797033. The next prime is 13566566797057. The reversal of 13566566797056 is 65079766566531.

13566566797056 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 6 + 566 + 7 + 9 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13566566797057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27857426445 + ... + 27857426931.

Almost surely, 2^{13566566797056} is an apocalyptic number.

13566566797056 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 13566566797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27525080244480).

13566566797056 is an abundant number, since it is smaller than the sum of its proper divisors (41483593691904).

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

13566566797056 is a wasteful number, since it uses less digits than its factorization.

13566566797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 72.

The spelling of 13566566797056 in words is "thirteen trillion, five hundred sixty-six billion, five hundred sixty-six million, seven hundred ninety-seven thousand, fifty-six".