29993099136 has 768 divisors, whose sum is σ = 111115307520. Its totient is φ = 7044710400.

The previous prime is 29993099131. The next prime is 29993099153. The reversal of 29993099136 is 63199039992.

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 29993099136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993099131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191038770 + ... + 191038926.

It is an arithmetic number, because the mean of its divisors is an integer number (144681390).

Almost surely, 2^29993099136 is an apocalyptic number.

29993099136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29993099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55557653760).

29993099136 is an abundant number, since it is smaller than the sum of its proper divisors (81122208384).

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

29993099136 is a wasteful number, since it uses less digits than its factorization.

29993099136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 60.

The spelling of 29993099136 in words is "twenty-nine billion, nine hundred ninety-three million, ninety-nine thousand, one hundred thirty-six".