12386518774560 has 864 divisors, whose sum is σ = 50804847475200. Its totient is φ = 2737249320960.

The previous prime is 12386518774549. The next prime is 12386518774639. The reversal of 12386518774560 is 6547781568321.

It is a happy number.

12386518774560 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 6 + 518 + 77 + 45 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3081988231 + ... + 3081992249.

It is an arithmetic number, because the mean of its divisors is an integer number (58801906800).

Almost surely, 2^{12386518774560} is an apocalyptic number.

12386518774560 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 12386518774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25402423737600).

12386518774560 is an abundant number, since it is smaller than the sum of its proper divisors (38418328700640).

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

12386518774560 is a wasteful number, since it uses less digits than its factorization.

12386518774560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 12386518774560 in words is "twelve trillion, three hundred eighty-six billion, five hundred eighteen million, seven hundred seventy-four thousand, five hundred sixty".