29840201216 has 160 divisors (see below), whose sum is σ = 70615480320. Its totient is φ = 12327321600.

The previous prime is 29840201191. The next prime is 29840201227. The reversal of 29840201216 is 61210204892.

It is a super-2 number, since 2×29840201216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46552256 + ... + 46552896.

It is an arithmetic number, because the mean of its divisors is an integer number (441346752).

Almost surely, 2^29840201216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29840201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35307740160).

29840201216 is an abundant number, since it is smaller than the sum of its proper divisors (40775279104).

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

29840201216 is an equidigital number, since it uses as much as digits as its factorization.

29840201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 29840201216 in words is "twenty-nine billion, eight hundred forty million, two hundred one thousand, two hundred sixteen".