29070316200 has 192 divisors, whose sum is σ = 95919932160. Its totient is φ = 7257784320.

The previous prime is 29070316151. The next prime is 29070316201. The reversal of 29070316200 is 261307092.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (29070316201) 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 47 ways as a sum of consecutive naturals, for example, 1961217 + ... + 1975983.

It is an arithmetic number, because the mean of its divisors is an integer number (499582980).

Almost surely, 2^29070316200 is an apocalyptic number.

29070316200 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 29070316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47959966080).

29070316200 is an abundant number, since it is smaller than the sum of its proper divisors (66849615960).

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

29070316200 is a wasteful number, since it uses less digits than its factorization.

29070316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14996 (or 14987 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 29070316200 in words is "twenty-nine billion, seventy million, three hundred sixteen thousand, two hundred".