29938288284800 has 288 divisors, whose sum is σ = 86132770626420. Its totient is φ = 10252476702720.

The previous prime is 29938288284799. The next prime is 29938288284841. The reversal of 29938288284800 is 848288283992.

It can be written as a sum of positive squares in 6 ways, for example, as 1972721375296 + 27965566909504 = 1404536^2 + 5288248^2 .

It is a super-2 number, since 2×29938288284800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133638482 + ... + 133862318.

Almost surely, 2^{29938288284800} is an apocalyptic number.

29938288284800 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 29938288284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43066385313210).

29938288284800 is an abundant number, since it is smaller than the sum of its proper divisors (56194482341620).

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

29938288284800 is a wasteful number, since it uses less digits than its factorization.

29938288284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224728 (or 224704 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 71.

The spelling of 29938288284800 in words is "twenty-nine trillion, nine hundred thirty-eight billion, two hundred eighty-eight million, two hundred eighty-four thousand, eight hundred".