12865461073920 has 1728 divisors, whose sum is σ = 57378613088160. Its totient is φ = 2640660922368.

The previous prime is 12865461073849. The next prime is 12865461073921. The reversal of 12865461073920 is 2937016456821.

It is a happy number.

12865461073920 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 546 + 1 + 0 + 7 + 3 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12865461073921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2172116079 + ... + 2172122001.

It is a 1-persistent number, because it is pandigital, but 2⋅12865461073920 = 25730922147840 is not.

Almost surely, 2^{12865461073920} is an apocalyptic number.

12865461073920 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 12865461073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28689306544080).

12865461073920 is an abundant number, since it is smaller than the sum of its proper divisors (44513152014240).

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

12865461073920 is a wasteful number, since it uses less digits than its factorization.

12865461073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12865461073920 in words is "twelve trillion, eight hundred sixty-five billion, four hundred sixty-one million, seventy-three thousand, nine hundred twenty".