29660029920 has 144 divisors (see below), whose sum is σ = 101390168880. Its totient is φ = 7895642112.

The previous prime is 29660029913. The next prime is 29660029921. The reversal of 29660029920 is 2992006692.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29660029921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827736 + ... + 862824.

It is an arithmetic number, because the mean of its divisors is an integer number (704098395).

Almost surely, 2^29660029920 is an apocalyptic number.

29660029920 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 29660029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50695084440).

29660029920 is an abundant number, since it is smaller than the sum of its proper divisors (71730138960).

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

29660029920 is a wasteful number, since it uses less digits than its factorization.

29660029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35697 (or 35686 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 29660029920 in words is "twenty-nine billion, six hundred sixty million, twenty-nine thousand, nine hundred twenty".