29993122269696 has 320 divisors, whose sum is σ = 85731328843776. Its totient is φ = 9300245299200.

The previous prime is 29993122269679. The next prime is 29993122269697. The reversal of 29993122269696 is 69696222139992.

It is not an unprimeable number, because it can be changed into a prime (29993122269697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146126181 + ... + 146331291.

Almost surely, 2^{29993122269696} 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 29993122269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42865664421888).

29993122269696 is an abundant number, since it is smaller than the sum of its proper divisors (55738206574080).

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

29993122269696 is a wasteful number, since it uses less digits than its factorization.

29993122269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205283 (or 205267 counting only the distinct ones).

The product of its digits is 612220032, while the sum is 75.

The spelling of 29993122269696 in words is "twenty-nine trillion, nine hundred ninety-three billion, one hundred twenty-two million, two hundred sixty-nine thousand, six hundred ninety-six".