29966956992 has 560 divisors, whose sum is σ = 111031861248. Its totient is φ = 7793418240.

The previous prime is 29966956939. The next prime is 29966956993. The reversal of 29966956992 is 29965966992.

It is a super-2 number, since 2×29966956992² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29966956992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966956993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19122993 + ... + 19124559.

Almost surely, 2^29966956992 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 29966956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55515930624).

29966956992 is an abundant number, since it is smaller than the sum of its proper divisors (81064904256).

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

29966956992 is a wasteful number, since it uses less digits than its factorization.

29966956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1627 counting only the distinct ones).

The product of its digits is 255091680, while the sum is 72.

The spelling of 29966956992 in words is "twenty-nine billion, nine hundred sixty-six million, nine hundred fifty-six thousand, nine hundred ninety-two".