12801736886400 has 5376 divisors, whose sum is σ = 64763911987200. Its totient is φ = 2438802432000.

The previous prime is 12801736886371. The next prime is 12801736886417. The reversal of 12801736886400 is 468863710821.

12801736886400 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 173 + 68 + 8 + 6 + 400 = 666.

It is a super-2 number, since 2×12801736886400² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 412959254385 + ... + 412959254415.

Almost surely, 2^{12801736886400} is an apocalyptic number.

12801736886400 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 12801736886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32381955993600).

12801736886400 is an abundant number, since it is smaller than the sum of its proper divisors (51962175100800).

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

12801736886400 is an equidigital number, since it uses as much as digits as its factorization.

12801736886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12801736886400 in words is "twelve trillion, eight hundred one billion, seven hundred thirty-six million, eight hundred eighty-six thousand, four hundred".