13566738830400 has 504 divisors, whose sum is σ = 55541850490880. Its totient is φ = 3076548894720.

The previous prime is 13566738830357. The next prime is 13566738830467. The reversal of 13566738830400 is 403883766531.

13566738830400 is a `hidden beast` number, since 1 + 3 + 5 + 66 + 73 + 88 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12271716 + ... + 13331484.

Almost surely, 2^{13566738830400} is an apocalyptic number.

13566738830400 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 13566738830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770925245440).

13566738830400 is an abundant number, since it is smaller than the sum of its proper divisors (41975111660480).

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

13566738830400 is a wasteful number, since it uses less digits than its factorization.

13566738830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059931 (or 1059913 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13566738830400 in words is "thirteen trillion, five hundred sixty-six billion, seven hundred thirty-eight million, eight hundred thirty thousand, four hundred".