12743050728576 has 512 divisors, whose sum is σ = 42159518668800. Its totient is φ = 3326743609344.

The previous prime is 12743050728517. The next prime is 12743050728641. The reversal of 12743050728576 is 67582705034721.

It is a happy number.

It is a super-2 number, since 2×12743050728576² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789573115 + ... + 789589253.

It is an arithmetic number, because the mean of its divisors is an integer number (82342809900).

Almost surely, 2^{12743050728576} is an apocalyptic number.

12743050728576 is a gapful number since it is divisible by the number (16) 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 12743050728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079759334400).

12743050728576 is an abundant number, since it is smaller than the sum of its proper divisors (29416467940224).

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

12743050728576 is a wasteful number, since it uses less digits than its factorization.

12743050728576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16672 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 12743050728576 in words is "twelve trillion, seven hundred forty-three billion, fifty million, seven hundred twenty-eight thousand, five hundred seventy-six".