29794816920 has 256 divisors, whose sum is σ = 102387110400. Its totient is φ = 6869237760.

The previous prime is 29794816897. The next prime is 29794816927. The reversal of 29794816920 is 2961849792.

It is a super-2 number, since 2×29794816920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29794816927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558952 + ... + 2570568.

It is an arithmetic number, because the mean of its divisors is an integer number (399949650).

Almost surely, 2^29794816920 is an apocalyptic number.

29794816920 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 29794816920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51193555200).

29794816920 is an abundant number, since it is smaller than the sum of its proper divisors (72592293480).

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

29794816920 is a wasteful number, since it uses less digits than its factorization.

29794816920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11738 (or 11734 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 29794816920 in words is "twenty-nine billion, seven hundred ninety-four million, eight hundred sixteen thousand, nine hundred twenty".