12576161398304 has 96 divisors (see below), whose sum is σ = 28956170428416. Its totient is φ = 5264121058560.

The previous prime is 12576161398303. The next prime is 12576161398319. The reversal of 12576161398304 is 40389316167521.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 12576161398304.

It is not an unprimeable number, because it can be changed into a prime (12576161398303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226622849 + ... + 226678335.

It is an arithmetic number, because the mean of its divisors is an integer number (301626775296).

It is a 1-persistent number, because it is pandigital, but 2⋅12576161398304 = 25152322796608 is not.

Almost surely, 2^{12576161398304} is an apocalyptic number.

12576161398304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12576161398304 is an abundant number, since it is smaller than the sum of its proper divisors (16380009030112).

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

12576161398304 is a wasteful number, since it uses less digits than its factorization.

12576161398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79078 (or 79070 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 12576161398304 in words is "twelve trillion, five hundred seventy-six billion, one hundred sixty-one million, three hundred ninety-eight thousand, three hundred four".