29958002688 has 192 divisors, whose sum is σ = 84206304000. Its totient is φ = 9452748800.

The previous prime is 29958002621. The next prime is 29958002707. The reversal of 29958002688 is 88620085992.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 14271463 + ... + 14273561.

It is an arithmetic number, because the mean of its divisors is an integer number (438574500).

Almost surely, 2^29958002688 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 29958002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152000).

29958002688 is an abundant number, since it is smaller than the sum of its proper divisors (54248301312).

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

29958002688 is a wasteful number, since it uses less digits than its factorization.

29958002688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 29958002688 in words is "twenty-nine billion, nine hundred fifty-eight million, two thousand, six hundred eighty-eight".