29338880000000 has 240 divisors, whose sum is σ = 73347973752144. Its totient is φ = 11735040000000.

The previous prime is 29338879999999. The next prime is 29338880000029. The reversal of 29338880000000 is 8883392.

It can be written as a sum of positive squares in 8 ways, for example, as 22311036583936 + 7027843416064 = 4723456^2 + 2651008^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1279988540 + ... + 1280011460.

Almost surely, 2^{29338880000000} is an apocalyptic number.

29338880000000 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 29338880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673986876072).

29338880000000 is an abundant number, since it is smaller than the sum of its proper divisors (44009093752144).

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

29338880000000 is an frugal number, since it uses more digits than its factorization.

29338880000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22984 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

Adding to 29338880000000 its reverse (8883392), we get a palindrome (29338888883392).

The spelling of 29338880000000 in words is "twenty-nine trillion, three hundred thirty-eight billion, eight hundred eighty million", and thus it is an aban number.