12853882642320 has 120 divisors (see below), whose sum is σ = 43220983735800. Its totient is φ = 3423464921088.

The previous prime is 12853882642309. The next prime is 12853882642343. The reversal of 12853882642320 is 2324628835821.

12853882642320 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 388 + 26 + 4 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5805940840704 + 7047941801616 = 2409552^2 + 2654796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10451275 + ... + 11616234.

It is an arithmetic number, because the mean of its divisors is an integer number (360174864465).

Almost surely, 2^{12853882642320} is an apocalyptic number.

12853882642320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12853882642320 is an abundant number, since it is smaller than the sum of its proper divisors (30367101093480).

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

12853882642320 is a wasteful number, since it uses less digits than its factorization.

12853882642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22068337 (or 22068328 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 12853882642320 in words is "twelve trillion, eight hundred fifty-three billion, eight hundred eighty-two million, six hundred forty-two thousand, three hundred twenty".