29299968000 has 672 divisors, whose sum is σ = 110320381080. Its totient is φ = 7763558400.

The previous prime is 29299967971. The next prime is 29299968007. The reversal of 29299968000 is 86999292.

It can be written as a sum of positive squares in 4 ways, for example, as 5912994816 + 23386973184 = 76896^2 + 152928^2 .

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

It is not an unprimeable number, because it can be changed into a prime (29299968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623922 + ... + 186624078.

Almost surely, 2^29299968000 is an apocalyptic number.

29299968000 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 29299968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55160190540).

29299968000 is an abundant number, since it is smaller than the sum of its proper divisors (81020413080).

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

29299968000 is an frugal number, since it uses more digits than its factorization.

29299968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 29299968000 in words is "twenty-nine billion, two hundred ninety-nine million, nine hundred sixty-eight thousand".