29693441920 has 128 divisors (see below), whose sum is σ = 72680924160. Its totient is φ = 11595073536.

The previous prime is 29693441917. The next prime is 29693441929. The reversal of 29693441920 is 2914439692.

It is a happy number.

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 (29693441929) 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, 14647947 + ... + 14649973.

It is an arithmetic number, because the mean of its divisors is an integer number (567819720).

Almost surely, 2^29693441920 is an apocalyptic number.

29693441920 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 29693441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36340462080).

29693441920 is an abundant number, since it is smaller than the sum of its proper divisors (42987482240).

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

29693441920 is a wasteful number, since it uses less digits than its factorization.

29693441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 29693441920 in words is "twenty-nine billion, six hundred ninety-three million, four hundred forty-one thousand, nine hundred twenty".