29680061600 has 288 divisors, whose sum is σ = 86225731200. Its totient is φ = 9760665600.

The previous prime is 29680061573. The next prime is 29680061611. The reversal of 29680061600 is 616008692.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29069090 + ... + 29070110.

It is an arithmetic number, because the mean of its divisors is an integer number (299394900).

Almost surely, 2^29680061600 is an apocalyptic number.

29680061600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29680061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43112865600).

29680061600 is an abundant number, since it is smaller than the sum of its proper divisors (56545669600).

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

29680061600 is a wasteful number, since it uses less digits than its factorization.

29680061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 29680061600 in words is "twenty-nine billion, six hundred eighty million, sixty-one thousand, six hundred".