12865379544000 has 1344 divisors, whose sum is σ = 51334627848192. Its totient is φ = 3058987008000.

The previous prime is 12865379543999. The next prime is 12865379544001. The reversal of 12865379544000 is 44597356821.

It is a happy number.

12865379544000 is a `hidden beast` number, since 1 + 2 + 8 + 65 + 37 + 9 + 544 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12865379543999) and next prime (12865379544001).

It is a super-2 number, since 2×12865379544000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12865379544001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3012261865 + ... + 3012266135.

It is a 1-persistent number, because it is pandigital, but 2⋅12865379544000 = 25730759088000 is not.

Almost surely, 2^{12865379544000} is an apocalyptic number.

12865379544000 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 12865379544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667313924096).

12865379544000 is an abundant number, since it is smaller than the sum of its proper divisors (38469248304192).

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

12865379544000 is a wasteful number, since it uses less digits than its factorization.

12865379544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12865379544000 in words is "twelve trillion, eight hundred sixty-five billion, three hundred seventy-nine million, five hundred forty-four thousand".