29916662568 has 96 divisors (see below), whose sum is σ = 81049177440. Its totient is φ = 9198109440.

The previous prime is 29916662563. The next prime is 29916662569. The reversal of 29916662568 is 86526661992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29916662563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8446878 + ... + 8450418.

It is an arithmetic number, because the mean of its divisors is an integer number (844262265).

Almost surely, 2^29916662568 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 29916662568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40524588720).

29916662568 is an abundant number, since it is smaller than the sum of its proper divisors (51132514872).

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

29916662568 is a wasteful number, since it uses less digits than its factorization.

29916662568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5642 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The spelling of 29916662568 in words is "twenty-nine billion, nine hundred sixteen million, six hundred sixty-two thousand, five hundred sixty-eight".