12886353792 has 384 divisors, whose sum is σ = 42290277120. Its totient is φ = 3738009600.

The previous prime is 12886353757. The next prime is 12886353829. The reversal of 12886353792 is 29735368821.

12886353792 is a `hidden beast` number, since 1 + 28 + 86 + 3 + 537 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12886353792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19034158 + ... + 19034834.

It is an arithmetic number, because the mean of its divisors is an integer number (110130930).

Almost surely, 2^12886353792 is an apocalyptic number.

12886353792 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 12886353792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145138560).

12886353792 is an abundant number, since it is smaller than the sum of its proper divisors (29403923328).

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

12886353792 is a wasteful number, since it uses less digits than its factorization.

12886353792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 767 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12886353792 in words is "twelve billion, eight hundred eighty-six million, three hundred fifty-three thousand, seven hundred ninety-two".