29955872172321 has 8 divisors (see below), whose sum is σ = 44379069884960. Its totient is φ = 19970581448196.

The previous prime is 29955872172203. The next prime is 29955872172349. The reversal of 29955872172321 is 12327127855992.

29955872172321 is a `hidden beast` number, since 2 + 9 + 9 + 5 + 587 + 2 + 1 + 7 + 23 + 21 = 666.

It is not a de Polignac number, because 29955872172321 - 2¹⁸ = 29955871910177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29955872177321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554738373535 + ... + 554738373588.

It is an arithmetic number, because the mean of its divisors is an integer number (5547383735620).

Almost surely, 2^{29955872172321} is an apocalyptic number.

It is an amenable number.

29955872172321 is a deficient number, since it is larger than the sum of its proper divisors (14423197712639).

29955872172321 is a wasteful number, since it uses less digits than its factorization.

29955872172321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109476747132 (or 1109476747126 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 29955872172321 in words is "twenty-nine trillion, nine hundred fifty-five billion, eight hundred seventy-two million, one hundred seventy-two thousand, three hundred twenty-one".