29836800000000 has 1728 divisors, whose sum is σ = 126462005563920. Its totient is φ = 6635520000000.

The previous prime is 29836799999987. The next prime is 29836800000013. The reversal of 29836800000000 is 863892.

29836800000000 is a `hidden beast` number, since 298 + 368 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (29836799999987) and next prime (29836800000013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 806399999982 + ... + 806400000018.

Almost surely, 2^{29836800000000} is an apocalyptic number.

29836800000000 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 29836800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63231002781960).

29836800000000 is an abundant number, since it is smaller than the sum of its proper divisors (96625205563920).

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

29836800000000 is an frugal number, since it uses more digits than its factorization.

29836800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 29836800000000 its reverse (863892), we get a palindrome (29836800863892).

The spelling of 29836800000000 in words is "twenty-nine trillion, eight hundred thirty-six billion, eight hundred million", and thus it is an aban number.