29905009024 has 128 divisors (see below), whose sum is σ = 67118284800. Its totient is φ = 13153996800.

The previous prime is 29905009007. The next prime is 29905009027. The reversal of 29905009024 is 42090050992.

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 (29905009027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7329417 + ... + 7333495.

It is an arithmetic number, because the mean of its divisors is an integer number (524361600).

Almost surely, 2^29905009024 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 29905009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33559142400).

29905009024 is an abundant number, since it is smaller than the sum of its proper divisors (37213275776).

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

29905009024 is a wasteful number, since it uses less digits than its factorization.

29905009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 29905009024 in words is "twenty-nine billion, nine hundred five million, nine thousand, twenty-four".