29009484160 has 128 divisors (see below), whose sum is σ = 74862532800. Its totient is φ = 10716389376.

The previous prime is 29009484151. The next prime is 29009484169. The reversal of 29009484160 is 6148490092.

It is an interprime number because it is at equal distance from previous prime (29009484151) and next prime (29009484169).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29009484169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392902 + ... + 460858.

Almost surely, 2^29009484160 is an apocalyptic number.

29009484160 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 29009484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37431266400).

29009484160 is an abundant number, since it is smaller than the sum of its proper divisors (45853048640).

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

29009484160 is a wasteful number, since it uses less digits than its factorization.

29009484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68028 (or 68016 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 29009484160 in words is "twenty-nine billion, nine million, four hundred eighty-four thousand, one hundred sixty".