29966929005312 has 288 divisors, whose sum is σ = 96360785830400. Its totient is φ = 9131070394368.

The previous prime is 29966929005287. The next prime is 29966929005361. The reversal of 29966929005312 is 21350092966992.

29966929005312 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 6 + 9 + 2 + 90 + 0 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 29966929005312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7636239 + ... + 10874097.

Almost surely, 2^{29966929005312} 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 29966929005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48180392915200).

29966929005312 is an abundant number, since it is smaller than the sum of its proper divisors (66393856825088).

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

29966929005312 is a wasteful number, since it uses less digits than its factorization.

29966929005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238000 (or 3237980 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 29966929005312 in words is "twenty-nine trillion, nine hundred sixty-six billion, nine hundred twenty-nine million, five thousand, three hundred twelve".