12853211086272 has 224 divisors, whose sum is σ = 34701450153984. Its totient is φ = 4198100659200.

The previous prime is 12853211086253. The next prime is 12853211086321. The reversal of 12853211086272 is 27268011235821.

12853211086272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706560697 + ... + 706578887.

Almost surely, 2^{12853211086272} is an apocalyptic number.

12853211086272 is a gapful number since it is divisible by the number (12) 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 12853211086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350725076992).

12853211086272 is an abundant number, since it is smaller than the sum of its proper divisors (21848239067712).

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

12853211086272 is a wasteful number, since it uses less digits than its factorization.

12853211086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18687 (or 18677 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 12853211086272 in words is "twelve trillion, eight hundred fifty-three billion, two hundred eleven million, eighty-six thousand, two hundred seventy-two".