12865574342880 has 384 divisors, whose sum is σ = 51992848373760. Its totient is φ = 2910385520640.

The previous prime is 12865574342833. The next prime is 12865574342893. The reversal of 12865574342880 is 8824347556821.

12865574342880 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 574 + 34 + 28 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740245 + ... + 5126315.

It is an arithmetic number, because the mean of its divisors is an integer number (135398042640).

Almost surely, 2^{12865574342880} is an apocalyptic number.

12865574342880 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 12865574342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25996424186880).

12865574342880 is an abundant number, since it is smaller than the sum of its proper divisors (39127274030880).

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

12865574342880 is a wasteful number, since it uses less digits than its factorization.

12865574342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386199 (or 4386185 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 12865574342880 in words is "twelve trillion, eight hundred sixty-five billion, five hundred seventy-four million, three hundred forty-two thousand, eight hundred eighty".