12792985296 has 320 divisors, whose sum is σ = 43917189120. Its totient is φ = 3115284480.

The previous prime is 12792985291. The next prime is 12792985297. The reversal of 12792985296 is 69258929721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792985291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911261 + ... + 2915651.

It is an arithmetic number, because the mean of its divisors is an integer number (137241216).

Almost surely, 2^12792985296 is an apocalyptic number.

12792985296 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 12792985296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958594560).

12792985296 is an abundant number, since it is smaller than the sum of its proper divisors (31124203824).

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

12792985296 is a wasteful number, since it uses less digits than its factorization.

12792985296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4468 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The spelling of 12792985296 in words is "twelve billion, seven hundred ninety-two million, nine hundred eighty-five thousand, two hundred ninety-six".