29072913696 has 144 divisors (see below), whose sum is σ = 86663697120. Its totient is φ = 9234570240.

The previous prime is 29072913689. The next prime is 29072913757. The reversal of 29072913696 is 69631927092.

29072913696 is a `hidden beast` number, since 290 + 7 + 291 + 3 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479115 + ... + 536373.

It is an arithmetic number, because the mean of its divisors is an integer number (601831230).

Almost surely, 2^29072913696 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 29072913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43331848560).

29072913696 is an abundant number, since it is smaller than the sum of its proper divisors (57590783424).

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

29072913696 is a wasteful number, since it uses less digits than its factorization.

29072913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57359 (or 57348 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 29072913696 in words is "twenty-nine billion, seventy-two million, nine hundred thirteen thousand, six hundred ninety-six".