29799059344000 has 128 divisors (see below), whose sum is σ = 74114586608400. Its totient is φ = 11915332096000.

The previous prime is 29799059343997. The next prime is 29799059344003. The reversal of 29799059344000 is 44395099792.

It is an interprime number because it is at equal distance from previous prime (29799059343997) and next prime (29799059344003).

It can be written as a sum of positive squares in 8 ways, for example, as 4076877880384 + 25722181463616 = 2019128^2 + 5071704^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 29799059344000.

It is not an unprimeable number, because it can be changed into a prime (29799059344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44290110 + ... + 44957890.

Almost surely, 2^{29799059344000} is an apocalyptic number.

29799059344000 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 29799059344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37057293304200).

29799059344000 is an abundant number, since it is smaller than the sum of its proper divisors (44315527264400).

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

29799059344000 is an equidigital number, since it uses as much as digits as its factorization.

29799059344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670599 (or 670577 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 29799059344000 in words is "twenty-nine trillion, seven hundred ninety-nine billion, fifty-nine million, three hundred forty-four thousand".