29585376016 has 45 divisors (see below), whose sum is σ = 66691161831. Its totient is φ = 12677382816.

The previous prime is 29585376013. The next prime is 29585376019. The reversal of 29585376016 is 61067358592.

The square root of 29585376016 is 172004.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (29585376013) and next prime (29585376019).

It is not an unprimeable number, because it can be changed into a prime (29585376013) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4813041 + ... + 4819183.

Almost surely, 2^29585376016 is an apocalyptic number.

29585376016 is the 172004-th square number.

It is an amenable number.

29585376016 is an abundant number, since it is smaller than the sum of its proper divisors (37105785815).

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

29585376016 is an frugal number, since it uses more digits than its factorization.

29585376016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 29585376016 in words is "twenty-nine billion, five hundred eighty-five million, three hundred seventy-six thousand, sixteen".