12865110080 has 84 divisors (see below), whose sum is σ = 30842430060. Its totient is φ = 5111344128.

The previous prime is 12865110061. The next prime is 12865110107. The reversal of 12865110080 is 8001156821.

It can be written as a sum of positive squares in 2 ways, for example, as 8808948736 + 4056161344 = 93856^2 + 63688^2 .

It is a super-2 number, since 2×12865110080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30704111 + ... + 30704529.

Almost surely, 2^12865110080 is an apocalyptic number.

12865110080 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 12865110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15421215030).

12865110080 is an abundant number, since it is smaller than the sum of its proper divisors (17977319980).

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

12865110080 is an frugal number, since it uses more digits than its factorization.

12865110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 12865110080 in words is "twelve billion, eight hundred sixty-five million, one hundred ten thousand, eighty".