29000000000000 has 338 divisors, whose sum is σ = 74990844665130. Its totient is φ = 11200000000000.

The previous prime is 28999999999979. The next prime is 29000000000009. The reversal of 29000000000000 is 92.

It can be written as a sum of positive squares in 13 ways, for example, as 25794697007104 + 3205302992896 = 5078848^2 + 1790336^2 .

It is a sliding number, since 29000000000000 = 4000000000000 + 25000000000000 and 1/4000000000000 + 1/25000000000000 = 0.00000000000029000000000000.

It is a junction number, because it is equal to n+sod(n) for n = 28999999999891 and 28999999999900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29000000000009) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 999999999986 + ... + 1000000000014.

Almost surely, 2^{29000000000000} is an apocalyptic number.

29000000000000 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 29000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37495422332565).

29000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (45990844665130).

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

29000000000000 is an frugal number, since it uses more digits than its factorization.

29000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Subtracting from 29000000000000 its product of nonzero digits (18), we obtain a palindrome (28999999999982).

Adding to 29000000000000 its reverse (92), we get a palindrome (29000000000092).

The spelling of 29000000000000 in words is "twenty-nine trillion", and thus it is an aban number and an uban number.