29473221120 has 320 divisors, whose sum is σ = 108339137280. Its totient is φ = 6695682048.

The previous prime is 29473221103. The next prime is 29473221133. The reversal of 29473221120 is 2112237492.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9298896 + ... + 9302064.

It is an arithmetic number, because the mean of its divisors is an integer number (338559804).

Almost surely, 2^29473221120 is an apocalyptic number.

29473221120 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 29473221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54169568640).

29473221120 is an abundant number, since it is smaller than the sum of its proper divisors (78865916160).

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

29473221120 is a wasteful number, since it uses less digits than its factorization.

29473221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 29473221120 in words is "twenty-nine billion, four hundred seventy-three million, two hundred twenty-one thousand, one hundred twenty".