12729566850 has 384 divisors, whose sum is σ = 44889126912. Its totient is φ = 2297548800.

The previous prime is 12729566827. The next prime is 12729566851. The reversal of 12729566850 is 5866592721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 12729566793 and 12729566802.

It is not an unprimeable number, because it can be changed into a prime (12729566851) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2550057 + ... + 2555043.

It is an arithmetic number, because the mean of its divisors is an integer number (116898768).

Almost surely, 2^12729566850 is an apocalyptic number.

12729566850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12729566850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444563456).

12729566850 is an abundant number, since it is smaller than the sum of its proper divisors (32159560062).

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

12729566850 is a wasteful number, since it uses less digits than its factorization.

12729566850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 12729566850 in words is "twelve billion, seven hundred twenty-nine million, five hundred sixty-six thousand, eight hundred fifty".