29996144044800 has 216 divisors, whose sum is σ = 100014082553616. Its totient is φ = 7916507627520.

The previous prime is 29996144044799. The next prime is 29996144044807. The reversal of 29996144044800 is 844044169992.

29996144044800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (29996144044807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6190689 + ... + 9915488.

Almost surely, 2^{29996144044800} is an apocalyptic number.

29996144044800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29996144044800 is an abundant number, since it is smaller than the sum of its proper divisors (70017938508816).

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

29996144044800 is a wasteful number, since it uses less digits than its factorization.

29996144044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16106303 (or 16106284 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 29996144044800 in words is "twenty-nine trillion, nine hundred ninety-six billion, one hundred forty-four million, forty-four thousand, eight hundred".