29825218080 has 432 divisors, whose sum is σ = 124632406080. Its totient is φ = 6458102784.

The previous prime is 29825218057. The next prime is 29825218097. The reversal of 29825218080 is 8081252892.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1329517 + ... + 1351763.

It is an arithmetic number, because the mean of its divisors is an integer number (288500940).

Almost surely, 2^29825218080 is an apocalyptic number.

29825218080 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 29825218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62316203040).

29825218080 is an abundant number, since it is smaller than the sum of its proper divisors (94807188000).

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

29825218080 is a wasteful number, since it uses less digits than its factorization.

29825218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301 (or 22283 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 29825218080 in words is "twenty-nine billion, eight hundred twenty-five million, two hundred eighteen thousand, eighty".