12065792256 has 432 divisors, whose sum is σ = 41462523648. Its totient is φ = 3303014400.

The previous prime is 12065792209. The next prime is 12065792257. The reversal of 12065792256 is 65229756021.

12065792256 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 579 + 22 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12065792257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46948480 + ... + 46948736.

It is an arithmetic number, because the mean of its divisors is an integer number (95978064).

Almost surely, 2^12065792256 is an apocalyptic number.

12065792256 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 12065792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20731261824).

12065792256 is an abundant number, since it is smaller than the sum of its proper divisors (29396731392).

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

12065792256 is a wasteful number, since it uses less digits than its factorization.

12065792256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 12065792256 in words is "twelve billion, sixty-five million, seven hundred ninety-two thousand, two hundred fifty-six".