29932000512 has 288 divisors, whose sum is σ = 86040299520. Its totient is φ = 9209733120.

The previous prime is 29932000499. The next prime is 29932000523. The reversal of 29932000512 is 21500023992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173017258 + ... + 173017430.

It is an arithmetic number, because the mean of its divisors is an integer number (298751040).

Almost surely, 2^29932000512 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 29932000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43020149760).

29932000512 is an abundant number, since it is smaller than the sum of its proper divisors (56108299008).

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

29932000512 is a wasteful number, since it uses less digits than its factorization.

29932000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 29932000512 in words is "twenty-nine billion, nine hundred thirty-two million, five hundred twelve", and thus it is an aban number.