12886013952 has 432 divisors, whose sum is σ = 44489980080. Its totient is φ = 3654844416.

The previous prime is 12886013941. The next prime is 12886013953. The reversal of 12886013952 is 25931068821.

12886013952 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 601 + 39 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×12886013952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12886013898 and 12886013907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886013953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94058428 + ... + 94058564.

It is an arithmetic number, because the mean of its divisors is an integer number (102986065).

Almost surely, 2^12886013952 is an apocalyptic number.

12886013952 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 12886013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22244990040).

12886013952 is an abundant number, since it is smaller than the sum of its proper divisors (31603966128).

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

12886013952 is an frugal number, since it uses more digits than its factorization.

12886013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12886013952 in words is "twelve billion, eight hundred eighty-six million, thirteen thousand, nine hundred fifty-two".