29160000000 has 560 divisors, whose sum is σ = 109192982184. Its totient is φ = 7776000000.

The previous prime is 29159999977. The next prime is 29160000011. The reversal of 29160000000 is 6192.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 17589125376 + 11570874624 = 132624^2 + 107568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831999998 + ... + 5832000002.

Almost surely, 2^29160000000 is an apocalyptic number.

29160000000 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 29160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54596491092).

29160000000 is an abundant number, since it is smaller than the sum of its proper divisors (80032982184).

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

29160000000 is an frugal number, since it uses more digits than its factorization.

29160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 29160000000 its reverse (6192), we get a palindrome (29160006192).

The spelling of 29160000000 in words is "twenty-nine billion, one hundred sixty million", and thus it is an aban number.