29932139776 has 432 divisors, whose sum is σ = 79824446464. Its totient is φ = 10948608000.

The previous prime is 29932139773. The next prime is 29932139789. The reversal of 29932139776 is 67793123992.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29932139776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29932139771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 410029276 + ... + 410029348.

Almost surely, 2^29932139776 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 29932139776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39912223232).

29932139776 is an abundant number, since it is smaller than the sum of its proper divisors (49892306688).

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

29932139776 is a wasteful number, since it uses less digits than its factorization.

29932139776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its digits is 7715736, while the sum is 58.

The spelling of 29932139776 in words is "twenty-nine billion, nine hundred thirty-two million, one hundred thirty-nine thousand, seven hundred seventy-six".