13185160560000 has 5120 divisors, whose sum is σ = 63211605811200. Its totient is φ = 2687385600000.

The previous prime is 13185160559953. The next prime is 13185160560083. The reversal of 13185160560000 is 6506158131.

13185160560000 is a `hidden beast` number, since 1 + 3 + 1 + 85 + 16 + 0 + 560 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 425327759985 + ... + 425327760015.

It is an arithmetic number, because the mean of its divisors is an integer number (12346016760).

Almost surely, 2^{13185160560000} is an apocalyptic number.

13185160560000 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 13185160560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31605802905600).

13185160560000 is an abundant number, since it is smaller than the sum of its proper divisors (50026445251200).

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

13185160560000 is an equidigital number, since it uses as much as digits as its factorization.

13185160560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13185160560000 in words is "thirteen trillion, one hundred eighty-five billion, one hundred sixty million, five hundred sixty thousand".