29960864765569 has 8 divisors (see below), whose sum is σ = 30002299129512. Its totient is φ = 29919455255040.

The previous prime is 29960864765549. The next prime is 29960864765599. The reversal of 29960864765569 is 96556746806992.

It can be written as a sum of positive squares in 4 ways, for example, as 4591107579969 + 25369757185600 = 2142687^2 + 5036840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29960864765569 is a prime.

It is a super-2 number, since 2×29960864765569² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29960864765492 and 29960864765501.

It is not an unprimeable number, because it can be changed into a prime (29960864765549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3800034 + ... + 8623339.

It is an arithmetic number, because the mean of its divisors is an integer number (3750287391189).

Almost surely, 2^{29960864765569} is an apocalyptic number.

It is an amenable number.

29960864765569 is a deficient number, since it is larger than the sum of its proper divisors (41434363943).

29960864765569 is a wasteful number, since it uses less digits than its factorization.

29960864765569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426707.

The product of its (nonzero) digits is 10581580800, while the sum is 82.

The spelling of 29960864765569 in words is "twenty-nine trillion, nine hundred sixty billion, eight hundred sixty-four million, seven hundred sixty-five thousand, five hundred sixty-nine".