12795637274208 has 72 divisors (see below), whose sum is σ = 36388451827728. Its totient is φ = 4265111814912.

The previous prime is 12795637274207. The next prime is 12795637274209. The reversal of 12795637274208 is 80247273659721.

It is a happy number.

12795637274208 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 56 + 372 + 7 + 4 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (12795637274207) and next prime (12795637274209).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12795637274208³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12795637274207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12245866 + ... + 13249622.

It is an arithmetic number, because the mean of its divisors is an integer number (505395164274).

It is a 1-persistent number, because it is pandigital, but 2⋅12795637274208 = 25591274548416 is not.

Almost surely, 2^{12795637274208} is an apocalyptic number.

12795637274208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12795637274208 is an abundant number, since it is smaller than the sum of its proper divisors (23592814553520).

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

12795637274208 is a wasteful number, since it uses less digits than its factorization.

12795637274208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048036 (or 1048025 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 12795637274208 in words is "twelve trillion, seven hundred ninety-five billion, six hundred thirty-seven million, two hundred seventy-four thousand, two hundred eight".