13566858117120 has 2880 divisors, whose sum is σ = 62325186932736. Its totient is φ = 2749334814720.

The previous prime is 13566858117107. The next prime is 13566858117133. The reversal of 13566858117120 is 2171185866531.

13566858117120 is a `hidden beast` number, since 1 + 3 + 56 + 6 + 8 + 581 + 1 + 7 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13566858117107) and next prime (13566858117133).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×13566858117120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81238671277 + ... + 81238671443.

Almost surely, 2^{13566858117120} is an apocalyptic number.

13566858117120 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 13566858117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162593466368).

13566858117120 is an abundant number, since it is smaller than the sum of its proper divisors (48758328815616).

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

13566858117120 is an equidigital number, since it uses as much as digits as its factorization.

13566858117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 13566858117120 in words is "thirteen trillion, five hundred sixty-six billion, eight hundred fifty-eight million, one hundred seventeen thousand, one hundred twenty".