12793030056576 has 768 divisors, whose sum is σ = 48023851898880. Its totient is φ = 3169682841600.

The previous prime is 12793030056563. The next prime is 12793030056629. The reversal of 12793030056576 is 67565003039721.

12793030056576 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 3 + 0 + 3 + 0 + 0 + 565 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 760983211 + ... + 761000021.

It is an arithmetic number, because the mean of its divisors is an integer number (62531057160).

Almost surely, 2^{12793030056576} is an apocalyptic number.

12793030056576 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 12793030056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011925949440).

12793030056576 is an abundant number, since it is smaller than the sum of its proper divisors (35230821842304).

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

12793030056576 is a wasteful number, since it uses less digits than its factorization.

12793030056576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17245 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 12793030056576 in words is "twelve trillion, seven hundred ninety-three billion, thirty million, fifty-six thousand, five hundred seventy-six".