29890009068000 has 192 divisors, whose sum is σ = 103073337319680. Its totient is φ = 7551160128000.

The previous prime is 29890009067999. The next prime is 29890009068001. The reversal of 29890009068000 is 86090009892.

It is an interprime number because it is at equal distance from previous prime (29890009067999) and next prime (29890009068001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29890009068001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65320266 + ... + 65776265.

It is an arithmetic number, because the mean of its divisors is an integer number (536840298540).

Almost surely, 2^{29890009068000} is an apocalyptic number.

29890009068000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29890009068000 is an abundant number, since it is smaller than the sum of its proper divisors (73183328251680).

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

29890009068000 is a wasteful number, since it uses less digits than its factorization.

29890009068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131096578 (or 131096560 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 29890009068000 in words is "twenty-nine trillion, eight hundred ninety billion, nine million, sixty-eight thousand".