12861500817540 has 384 divisors, whose sum is σ = 40804927027200. Its totient is φ = 3007647866880.

The previous prime is 12861500817499. The next prime is 12861500817551. The reversal of 12861500817540 is 4571800516821.

It is a self number, because there is not a number n which added to its sum of digits gives 12861500817540.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288216430 + ... + 288261050.

It is an arithmetic number, because the mean of its divisors is an integer number (106262830800).

Almost surely, 2^{12861500817540} is an apocalyptic number.

12861500817540 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 12861500817540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402463513600).

12861500817540 is an abundant number, since it is smaller than the sum of its proper divisors (27943426209660).

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

12861500817540 is a wasteful number, since it uses less digits than its factorization.

12861500817540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44915 (or 44913 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 12861500817540 in words is "twelve trillion, eight hundred sixty-one billion, five hundred million, eight hundred seventeen thousand, five hundred forty".