29792896416 has 144 divisors (see below), whose sum is σ = 87998156064. Its totient is φ = 9915519744.

The previous prime is 29792896403. The next prime is 29792896421. The reversal of 29792896416 is 61469829792.

29792896416 is a `hidden beast` number, since 297 + 9 + 289 + 64 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697195 + ... + 5702421.

It is an arithmetic number, because the mean of its divisors is an integer number (611098306).

Almost surely, 2^29792896416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29792896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999078032).

29792896416 is an abundant number, since it is smaller than the sum of its proper divisors (58205259648).

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

29792896416 is an equidigital number, since it uses as much as digits as its factorization.

29792896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5965 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 29792896416 in words is "twenty-nine billion, seven hundred ninety-two million, eight hundred ninety-six thousand, four hundred sixteen".