29705600000 has 132 divisors (see below), whose sum is σ = 74230983288. Its totient is φ = 11880960000.

The previous prime is 29705599993. The next prime is 29705600009. The reversal of 29705600000 is 650792.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29705600009) 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 11 ways as a sum of consecutive naturals, for example, 3195359 + ... + 3204641.

It is an arithmetic number, because the mean of its divisors is an integer number (562355934).

Almost surely, 2^29705600000 is an apocalyptic number.

29705600000 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 29705600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37115491644).

29705600000 is an abundant number, since it is smaller than the sum of its proper divisors (44525383288).

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

29705600000 is an frugal number, since it uses more digits than its factorization.

29705600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 29705600000 in words is "twenty-nine billion, seven hundred five million, six hundred thousand".