29966185216 has 144 divisors (see below), whose sum is σ = 67697280000. Its totient is φ = 13115289600.

The previous prime is 29966185177. The next prime is 29966185229. The reversal of 29966185216 is 61258166992.

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, 19990035 + ... + 19991533.

It is an arithmetic number, because the mean of its divisors is an integer number (470120000).

Almost surely, 2^29966185216 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 29966185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848640000).

29966185216 is an abundant number, since it is smaller than the sum of its proper divisors (37731094784).

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

29966185216 is a wasteful number, since it uses less digits than its factorization.

29966185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1772 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 55.

The spelling of 29966185216 in words is "twenty-nine billion, nine hundred sixty-six million, one hundred eighty-five thousand, two hundred sixteen".