29474854080 has 224 divisors, whose sum is σ = 109561213440. Its totient is φ = 6572728320.

The previous prime is 29474854063. The next prime is 29474854081. The reversal of 29474854080 is 8045847492.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (29474854081) 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 31 ways as a sum of consecutive naturals, for example, 222031 + ... + 329009.

It is an arithmetic number, because the mean of its divisors is an integer number (489112560).

Almost surely, 2^29474854080 is an apocalyptic number.

29474854080 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 29474854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54780606720).

29474854080 is an abundant number, since it is smaller than the sum of its proper divisors (80086359360).

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

29474854080 is a wasteful number, since it uses less digits than its factorization.

29474854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107047 (or 107037 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 29474854080 in words is "twenty-nine billion, four hundred seventy-four million, eight hundred fifty-four thousand, eighty".