12684315087360 has 1920 divisors, whose sum is σ = 54977121239040. Its totient is φ = 2740130021376.

The previous prime is 12684315087341. The next prime is 12684315087373. The reversal of 12684315087360 is 6378051348621.

12684315087360 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 4 + 3 + 1 + 508 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 12684315087297 and 12684315087306.

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, 8913783609 + ... + 8913785031.

It is an arithmetic number, because the mean of its divisors is an integer number (28633917312).

Almost surely, 2^{12684315087360} is an apocalyptic number.

12684315087360 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 12684315087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27488560619520).

12684315087360 is an abundant number, since it is smaller than the sum of its proper divisors (42292806151680).

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

12684315087360 is an equidigital number, since it uses as much as digits as its factorization.

12684315087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12684315087360 in words is "twelve trillion, six hundred eighty-four billion, three hundred fifteen million, eighty-seven thousand, three hundred sixty".