12862574395008 has 256 divisors, whose sum is σ = 37924360185600. Its totient is φ = 3837999513600.

The previous prime is 12862574394979. The next prime is 12862574395019. The reversal of 12862574395008 is 80059347526821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21322888 + ... + 21917816.

It is an arithmetic number, because the mean of its divisors is an integer number (148142031975).

It is a 1-persistent number, because it is pandigital, but 2⋅12862574395008 = 25725148790016 is not.

Almost surely, 2^{12862574395008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12862574395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962180092800).

12862574395008 is an abundant number, since it is smaller than the sum of its proper divisors (25061785790592).

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

12862574395008 is a wasteful number, since it uses less digits than its factorization.

12862574395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595091 (or 595079 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 12862574395008 in words is "twelve trillion, eight hundred sixty-two billion, five hundred seventy-four million, three hundred ninety-five thousand, eight".