29818727705 has 24 divisors (see below), whose sum is σ = 39372498312. Its totient is φ = 21551369472.

The previous prime is 29818727677. The next prime is 29818727713. The reversal of 29818727705 is 50772781892.

It can be written as a sum of positive squares in 4 ways, for example, as 98346889 + 29720380816 = 9917^2 + 172396^2 .

It is not a de Polignac number, because 29818727705 - 2¹⁶ = 29818662169 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 39749 + ... + 247421.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520763).

Almost surely, 2^29818727705 is an apocalyptic number.

It is an amenable number.

29818727705 is a deficient number, since it is larger than the sum of its proper divisors (9553770607).

29818727705 is a wasteful number, since it uses less digits than its factorization.

29818727705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207785 (or 207738 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 56.

Adding to 29818727705 its sum of digits (56), we get a square (29818727761 = 172681²).

The spelling of 29818727705 in words is "twenty-nine billion, eight hundred eighteen million, seven hundred twenty-seven thousand, seven hundred five".