12861566075610 has 192 divisors, whose sum is σ = 40468308072192. Its totient is φ = 2766652028928.

The previous prime is 12861566075587. The next prime is 12861566075689. The reversal of 12861566075610 is 1657066516821.

12861566075610 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 566 + 0 + 75 + 6 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176432229 + ... + 176505111.

It is an arithmetic number, because the mean of its divisors is an integer number (210772437876).

Almost surely, 2^{12861566075610} is an apocalyptic number.

12861566075610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12861566075610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234154036096).

12861566075610 is an abundant number, since it is smaller than the sum of its proper divisors (27606741996582).

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

12861566075610 is a wasteful number, since it uses less digits than its factorization.

12861566075610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89397 (or 89394 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12861566075610 in words is "twelve trillion, eight hundred sixty-one billion, five hundred sixty-six million, seventy-five thousand, six hundred ten".