29919772008 has 256 divisors, whose sum is σ = 97332480000. Its totient is φ = 8512330176.

The previous prime is 29919771991. The next prime is 29919772027. The reversal of 29919772008 is 80027791992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20966191 + ... + 20967617.

It is an arithmetic number, because the mean of its divisors is an integer number (380205000).

Almost surely, 2^29919772008 is an apocalyptic number.

29919772008 is a gapful number since it is divisible by the number (28) 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 29919772008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48666240000).

29919772008 is an abundant number, since it is smaller than the sum of its proper divisors (67412707992).

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

29919772008 is a wasteful number, since it uses less digits than its factorization.

29919772008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 29919772008 in words is "twenty-nine billion, nine hundred nineteen million, seven hundred seventy-two thousand, eight".