12853397289568 has 384 divisors, whose sum is σ = 31590251320320. Its totient is φ = 5072184606720.

The previous prime is 12853397289493. The next prime is 12853397289583. The reversal of 12853397289568 is 86598279335821.

12853397289568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12853397289494 and 12853397289503.

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, 4737704980 + ... + 4737707692.

It is an arithmetic number, because the mean of its divisors is an integer number (82266279480).

Almost surely, 2^{12853397289568} 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 12853397289568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795125660160).

12853397289568 is an abundant number, since it is smaller than the sum of its proper divisors (18736854030752).

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

12853397289568 is a wasteful number, since it uses less digits than its factorization.

12853397289568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3982 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 76.

The spelling of 12853397289568 in words is "twelve trillion, eight hundred fifty-three billion, three hundred ninety-seven million, two hundred eighty-nine thousand, five hundred sixty-eight".