29600965224768 has 112 divisors (see below), whose sum is σ = 89509325013504. Its totient is φ = 8457263255040.

The previous prime is 29600965224767. The next prime is 29600965224841. The reversal of 29600965224768 is 86742256900692.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 29600965224699 and 29600965224708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29600965224767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86936071 + ... + 87275897.

Almost surely, 2^{29600965224768} is an apocalyptic number.

29600965224768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29600965224768 is an abundant number, since it is smaller than the sum of its proper divisors (59908359788736).

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

29600965224768 is a wasteful number, since it uses less digits than its factorization.

29600965224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404660 (or 404650 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 29600965224768 in words is "twenty-nine trillion, six hundred billion, nine hundred sixty-five million, two hundred twenty-four thousand, seven hundred sixty-eight".