29069483660160 has 768 divisors, whose sum is σ = 100566593902080. Its totient is φ = 7128298045440.

The previous prime is 29069483660159. The next prime is 29069483660167. The reversal of 29069483660160 is 6106638496092.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 29069483660094 and 29069483660103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29069483660167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6662726139 + ... + 6662730501.

It is an arithmetic number, because the mean of its divisors is an integer number (130946085810).

Almost surely, 2^{29069483660160} is an apocalyptic number.

29069483660160 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 29069483660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50283296951040).

29069483660160 is an abundant number, since it is smaller than the sum of its proper divisors (71497110241920).

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

29069483660160 is a wasteful number, since it uses less digits than its factorization.

29069483660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 29069483660160 in words is "twenty-nine trillion, sixty-nine billion, four hundred eighty-three million, six hundred sixty thousand, one hundred sixty".