29966555443968 has 648 divisors, whose sum is σ = 102346275507840. Its totient is φ = 8376415027200.

The previous prime is 29966555443949. The next prime is 29966555443969. The reversal of 29966555443968 is 86934455566992.

29966555443968 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 6 + 5 + 5 + 544 + 3 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (29966555443969) 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 71 ways as a sum of consecutive naturals, for example, 9854176528 + ... + 9854179568.

Almost surely, 2^{29966555443968} 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 29966555443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51173137753920).

29966555443968 is an abundant number, since it is smaller than the sum of its proper divisors (72379720063872).

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

29966555443968 is a wasteful number, since it uses less digits than its factorization.

29966555443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5789 counting only the distinct ones).

The product of its digits is 15116544000, while the sum is 81.

The spelling of 29966555443968 in words is "twenty-nine trillion, nine hundred sixty-six billion, five hundred fifty-five million, four hundred forty-three thousand, nine hundred sixty-eight".