12811593015936 has 1536 divisors, whose sum is σ = 45407407368960. Its totient is φ = 3444432076800.

The previous prime is 12811593015929. The next prime is 12811593015973. The reversal of 12811593015936 is 63951039511821.

It is a happy number.

12811593015936 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 593 + 0 + 15 + 9 + 36 = 666.

12811593015936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70782281766 + ... + 70782281946.

Almost surely, 2^{12811593015936} is an apocalyptic number.

12811593015936 is a gapful number since it is divisible by the number (16) 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 12811593015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703703684480).

12811593015936 is an abundant number, since it is smaller than the sum of its proper divisors (32595814353024).

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

12811593015936 is a wasteful number, since it uses less digits than its factorization.

12811593015936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 12811593015936 in words is "twelve trillion, eight hundred eleven billion, five hundred ninety-three million, fifteen thousand, nine hundred thirty-six".