29806939319508 has 144 divisors (see below), whose sum is σ = 83126435844816. Its totient is φ = 8946998968320.

The previous prime is 29806939319413. The next prime is 29806939319527. The reversal of 29806939319508 is 80591393960892.

It is a happy number.

29806939319508 is a `hidden beast` number, since 2 + 9 + 80 + 6 + 9 + 3 + 9 + 31 + 9 + 508 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17984537309124 + 11822402010384 = 4240818^2 + 3438372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292239816 + ... + 292341792.

It is an arithmetic number, because the mean of its divisors is an integer number (577266915589).

Almost surely, 2^{29806939319508} 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 29806939319508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41563217922408).

29806939319508 is an abundant number, since it is smaller than the sum of its proper divisors (53319496525308).

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

29806939319508 is a wasteful number, since it uses less digits than its factorization.

29806939319508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117274 (or 117269 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 29806939319508 in words is "twenty-nine trillion, eight hundred six billion, nine hundred thirty-nine million, three hundred nineteen thousand, five hundred eight".