12853096926208 has 352 divisors, whose sum is σ = 32445024150528. Its totient is φ = 4943683584000.

The previous prime is 12853096926127. The next prime is 12853096926217. The reversal of 12853096926208 is 80262969035821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×12853096926208³ (a number of 40 digits) contains 333 as substring.

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, 2970438541 + ... + 2970442867.

It is an arithmetic number, because the mean of its divisors is an integer number (92173364064).

Almost surely, 2^{12853096926208} 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 12853096926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222512075264).

12853096926208 is an abundant number, since it is smaller than the sum of its proper divisors (19591927224320).

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

12853096926208 is a wasteful number, since it uses less digits than its factorization.

12853096926208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 12853096926208 in words is "twelve trillion, eight hundred fifty-three billion, ninety-six million, nine hundred twenty-six thousand, two hundred eight".