12671853667200 has 2304 divisors, whose sum is σ = 58186709145600. Its totient is φ = 2622629560320.

The previous prime is 12671853667139. The next prime is 12671853667219. The reversal of 12671853667200 is 276635817621.

12671853667200 is a `hidden beast` number, since 1 + 2 + 6 + 71 + 8 + 5 + 366 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27369014169 + ... + 27369014631.

Almost surely, 2^{12671853667200} is an apocalyptic number.

12671853667200 is a gapful number since it is divisible by the number (10) 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 12671853667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093354572800).

12671853667200 is an abundant number, since it is smaller than the sum of its proper divisors (45514855478400).

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

12671853667200 is a wasteful number, since it uses less digits than its factorization.

12671853667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12671853667200 in words is "twelve trillion, six hundred seventy-one billion, eight hundred fifty-three million, six hundred sixty-seven thousand, two hundred".