29720113315200 has 4320 divisors, whose sum is σ = 142530853144680. Its totient is φ = 6075017625600.

The previous prime is 29720113315163. The next prime is 29720113315201. The reversal of 29720113315200 is 251331102792.

It is a happy number.

29720113315200 is a `hidden beast` number, since 2 + 9 + 7 + 20 + 113 + 315 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29720113315201) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 127554134284 + ... + 127554134516.

Almost surely, 2^{29720113315200} is an apocalyptic number.

29720113315200 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 29720113315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71265426572340).

29720113315200 is an abundant number, since it is smaller than the sum of its proper divisors (112810739829480).

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

29720113315200 is a wasteful number, since it uses less digits than its factorization.

29720113315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 29720113315200 its reverse (251331102792), we get a palindrome (29971444417992).

The spelling of 29720113315200 in words is "twenty-nine trillion, seven hundred twenty billion, one hundred thirteen million, three hundred fifteen thousand, two hundred".