29384149707120 has 80 divisors (see below), whose sum is σ = 98097853648032. Its totient is φ = 7233021465600.

The previous prime is 29384149707103. The next prime is 29384149707139. The reversal of 29384149707120 is 2170794148392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708995231 + ... + 4709001470.

Almost surely, 2^{29384149707120} is an apocalyptic number.

29384149707120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29384149707120 is an abundant number, since it is smaller than the sum of its proper divisors (68713703940912).

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

29384149707120 is a wasteful number, since it uses less digits than its factorization.

29384149707120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417996730 (or 9417996724 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 29384149707120 in words is "twenty-nine trillion, three hundred eighty-four billion, one hundred forty-nine million, seven hundred seven thousand, one hundred twenty".