29205606416 has 120 divisors (see below), whose sum is σ = 71945680896. Its totient is φ = 11400238080.

The previous prime is 29205606329. The next prime is 29205606427. The reversal of 29205606416 is 61460650292.

It is a happy number.

It is a super-2 number, since 2×29205606416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377825 + ... + 448511.

Almost surely, 2^29205606416 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 29205606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35972840448).

29205606416 is an abundant number, since it is smaller than the sum of its proper divisors (42740074480).

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

29205606416 is a wasteful number, since it uses less digits than its factorization.

29205606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70757 (or 70744 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 29205606416 in words is "twenty-nine billion, two hundred five million, six hundred six thousand, four hundred sixteen".