29081681321328 has 240 divisors, whose sum is σ = 82607759863200. Its totient is φ = 9549741680640.

The previous prime is 29081681321293. The next prime is 29081681321339. The reversal of 29081681321328 is 82312318618092.

29081681321328 is a `hidden beast` number, since 29 + 0 + 8 + 168 + 132 + 1 + 328 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7232447958 + ... + 7232451978.

It is an arithmetic number, because the mean of its divisors is an integer number (344198999430).

Almost surely, 2^{29081681321328} 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 29081681321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41303879931600).

29081681321328 is an abundant number, since it is smaller than the sum of its proper divisors (53526078541872).

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

29081681321328 is a wasteful number, since it uses less digits than its factorization.

29081681321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29081681321328 in words is "twenty-nine trillion, eighty-one billion, six hundred eighty-one million, three hundred twenty-one thousand, three hundred twenty-eight".