29289538816 has 72 divisors (see below), whose sum is σ = 61963430760. Its totient is φ = 13770031104.

The previous prime is 29289538801. The next prime is 29289538841. The reversal of 29289538816 is 61883598292.

It can be written as a sum of positive squares in 4 ways, for example, as 22284518400 + 7005020416 = 149280^2 + 83696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5641950 + ... + 5647138.

It is an arithmetic number, because the mean of its divisors is an integer number (860603205).

Almost surely, 2^29289538816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29289538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981715380).

29289538816 is an abundant number, since it is smaller than the sum of its proper divisors (32673891944).

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

29289538816 is a wasteful number, since it uses less digits than its factorization.

29289538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6505 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 61.

The spelling of 29289538816 in words is "twenty-nine billion, two hundred eighty-nine million, five hundred thirty-eight thousand, eight hundred sixteen".