29980968192 has 216 divisors, whose sum is σ = 98966032256. Its totient is φ = 8550862848.

The previous prime is 29980968191. The next prime is 29980968223. The reversal of 29980968192 is 29186908992.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29980968191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11723778 + ... + 11726334.

Almost surely, 2^29980968192 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 29980968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49483016128).

29980968192 is an abundant number, since it is smaller than the sum of its proper divisors (68985064064).

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

29980968192 is a wasteful number, since it uses less digits than its factorization.

29980968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 29980968192 in words is "twenty-nine billion, nine hundred eighty million, nine hundred sixty-eight thousand, one hundred ninety-two".