29221606868096 has 256 divisors, whose sum is σ = 61350018662400. Its totient is φ = 13847082762240.

The previous prime is 29221606868087. The next prime is 29221606868117. The reversal of 29221606868096 is 69086860612292.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33093552071 + ... + 33093552953.

It is an arithmetic number, because the mean of its divisors is an integer number (239648510400).

Almost surely, 2^{29221606868096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29221606868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675009331200).

29221606868096 is an abundant number, since it is smaller than the sum of its proper divisors (32128411794304).

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

29221606868096 is a wasteful number, since it uses less digits than its factorization.

29221606868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 29221606868096 in words is "twenty-nine trillion, two hundred twenty-one billion, six hundred six million, eight hundred sixty-eight thousand, ninety-six".