12794775185808 has 480 divisors, whose sum is σ = 46673809827840. Its totient is φ = 3172714997760.

The previous prime is 12794775185729. The next prime is 12794775185813. The reversal of 12794775185808 is 80858157749721.

12794775185808 is a `hidden beast` number, since 1 + 2 + 79 + 477 + 5 + 1 + 8 + 5 + 80 + 8 = 666.

It is a super-2 number, since 2×12794775185808² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133329588 + ... + 133425516.

It is an arithmetic number, because the mean of its divisors is an integer number (97237103808).

Almost surely, 2^{12794775185808} is an apocalyptic number.

12794775185808 is a gapful number since it is divisible by the number (18) 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 12794775185808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336904913920).

12794775185808 is an abundant number, since it is smaller than the sum of its proper divisors (33879034642032).

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

12794775185808 is a wasteful number, since it uses less digits than its factorization.

12794775185808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96507 (or 96498 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 72.

The spelling of 12794775185808 in words is "twelve trillion, seven hundred ninety-four billion, seven hundred seventy-five million, one hundred eighty-five thousand, eight hundred eight".