29808897410200 has 48 divisors (see below), whose sum is σ = 69747124045680. Its totient is φ = 11847612716160.

The previous prime is 29808897410191. The next prime is 29808897410269. The reversal of 29808897410200 is 201479880892.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 474632572 + ... + 474695371.

It is an arithmetic number, because the mean of its divisors is an integer number (1453065084285).

Almost surely, 2^{29808897410200} is an apocalyptic number.

29808897410200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29808897410200 is an abundant number, since it is smaller than the sum of its proper divisors (39938226635480).

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

29808897410200 is a wasteful number, since it uses less digits than its factorization.

29808897410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949328116 (or 949328107 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 29808897410200 in words is "twenty-nine trillion, eight hundred eight billion, eight hundred ninety-seven million, four hundred ten thousand, two hundred".