29966128608 has 48 divisors (see below), whose sum is σ = 84711944016. Its totient is φ = 9220346880.

The previous prime is 29966128607. The next prime is 29966128679. The reversal of 29966128608 is 80682166992.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966128603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12004413 + ... + 12006908.

It is an arithmetic number, because the mean of its divisors is an integer number (1764832167).

Almost surely, 2^29966128608 is an apocalyptic number.

It is an amenable number.

29966128608 is an abundant number, since it is smaller than the sum of its proper divisors (54745815408).

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

29966128608 is a wasteful number, since it uses less digits than its factorization.

29966128608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24011347 (or 24011339 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 29966128608 in words is "twenty-nine billion, nine hundred sixty-six million, one hundred twenty-eight thousand, six hundred eight".