29985915894400 has 48 divisors (see below), whose sum is σ = 74074582865790. Its totient is φ = 11994366356480.

The previous prime is 29985915894397. The next prime is 29985915894421. The reversal of 29985915894400 is 449851958992.

It can be written as a sum of positive squares in 3 ways, for example, as 28237660743744 + 1748255150656 = 5313912^2 + 1322216^2 .

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 5 ways as a sum of consecutive naturals, for example, 4685296159 + ... + 4685302558.

Almost surely, 2^{29985915894400} is an apocalyptic number.

29985915894400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29985915894400 is an abundant number, since it is smaller than the sum of its proper divisors (44088666971390).

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

29985915894400 is an equidigital number, since it uses as much as digits as its factorization.

29985915894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370598741 (or 9370598724 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 73.

The spelling of 29985915894400 in words is "twenty-nine trillion, nine hundred eighty-five billion, nine hundred fifteen million, eight hundred ninety-four thousand, four hundred".