29268566016 has 112 divisors (see below), whose sum is σ = 78623458704. Its totient is φ = 9683861504.

The previous prime is 29268566003. The next prime is 29268566029. The reversal of 29268566016 is 61066586292.

It is an interprime number because it is at equal distance from previous prime (29268566003) and next prime (29268566029).

It is a super-2 number, since 2×29268566016² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29268566016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3362566 + ... + 3371258.

It is an arithmetic number, because the mean of its divisors is an integer number (701995167).

Almost surely, 2^29268566016 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 29268566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39311729352).

29268566016 is an abundant number, since it is smaller than the sum of its proper divisors (49354892688).

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

29268566016 is an equidigital number, since it uses as much as digits as its factorization.

29268566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 29268566016 in words is "twenty-nine billion, two hundred sixty-eight million, five hundred sixty-six thousand, sixteen".