29009829888000 has 3264 divisors, whose sum is σ = 125037959155200. Its totient is φ = 6650383564800.

The previous prime is 29009829887993. The next prime is 29009829888037. The reversal of 29009829888000 is 88892890092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 491692031971 + ... + 491692032029.

Almost surely, 2^{29009829888000} is an apocalyptic number.

29009829888000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29009829888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518979577600).

29009829888000 is an abundant number, since it is smaller than the sum of its proper divisors (96028129267200).

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

29009829888000 is an frugal number, since it uses more digits than its factorization.

29009829888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 29009829888000 in words is "twenty-nine trillion, nine billion, eight hundred twenty-nine million, eight hundred eighty-eight thousand".