12743528878080 has 5616 divisors, whose sum is σ = 65454121111680. Its totient is φ = 2338038743040.

The previous prime is 12743528878079. The next prime is 12743528878121. The reversal of 12743528878080 is 8087882534721.

12743528878080 is a `hidden beast` number, since 1 + 27 + 4 + 3 + 528 + 8 + 7 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12743528877999 and 12743528878017.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 554066472949 + ... + 554066472971.

Almost surely, 2^{12743528878080} is an apocalyptic number.

12743528878080 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 12743528878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727060555840).

12743528878080 is an abundant number, since it is smaller than the sum of its proper divisors (52710592233600).

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

12743528878080 is a wasteful number, since it uses less digits than its factorization.

12743528878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 12743528878080 in words is "twelve trillion, seven hundred forty-three billion, five hundred twenty-eight million, eight hundred seventy-eight thousand, eighty".