29681908323840 has 480 divisors, whose sum is σ = 107062136397216. Its totient is φ = 7881166356480.

The previous prime is 29681908323827. The next prime is 29681908323841. The reversal of 29681908323840 is 4832380918692.

29681908323840 is a `hidden beast` number, since 2 + 9 + 68 + 190 + 8 + 3 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29681908323841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144842250 + ... + 145047030.

Almost surely, 2^{29681908323840} is an apocalyptic number.

29681908323840 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 29681908323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53531068198608).

29681908323840 is an abundant number, since it is smaller than the sum of its proper divisors (77380228073376).

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

29681908323840 is an equidigital number, since it uses as much as digits as its factorization.

29681908323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205052 (or 205024 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 29681908323840 in words is "twenty-nine trillion, six hundred eighty-one billion, nine hundred eight million, three hundred twenty-three thousand, eight hundred forty".