29968879768044 has 192 divisors, whose sum is σ = 85559964672000. Its totient is φ = 7974479227392.

The previous prime is 29968879768039. The next prime is 29968879768111. The reversal of 29968879768044 is 44086797886992.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21855807 + ... + 23186505.

It is an arithmetic number, because the mean of its divisors is an integer number (445624816000).

Almost surely, 2^{29968879768044} 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 29968879768044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42779982336000).

29968879768044 is an abundant number, since it is smaller than the sum of its proper divisors (55591084903956).

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

29968879768044 is a wasteful number, since it uses less digits than its factorization.

29968879768044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330972 (or 1330970 counting only the distinct ones).

The product of its (nonzero) digits is 21069103104, while the sum is 87.

The spelling of 29968879768044 in words is "twenty-nine trillion, nine hundred sixty-eight billion, eight hundred seventy-nine million, seven hundred sixty-eight thousand, forty-four".