29549968128 has 144 divisors (see below), whose sum is σ = 87471835360. Its totient is φ = 9840144384.

The previous prime is 29549968081. The next prime is 29549968163. The reversal of 29549968128 is 82186994592.

29549968128 is a `hidden beast` number, since 2 + 9 + 549 + 9 + 6 + 81 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11037126 + ... + 11039802.

Almost surely, 2^29549968128 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 29549968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43735917680).

29549968128 is an abundant number, since it is smaller than the sum of its proper divisors (57921867232).

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

29549968128 is a wasteful number, since it uses less digits than its factorization.

29549968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4279 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

It can be divided in two parts, 29549968 and 128, that added together give a square (29550096 = 5436²).

The spelling of 29549968128 in words is "twenty-nine billion, five hundred forty-nine million, nine hundred sixty-eight thousand, one hundred twenty-eight".