29983486896 has 240 divisors, whose sum is σ = 93148323840. Its totient is φ = 8927815680.

The previous prime is 29983486861. The next prime is 29983486901. The reversal of 29983486896 is 69868438992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22731325 + ... + 22732643.

It is an arithmetic number, because the mean of its divisors is an integer number (388118016).

Almost surely, 2^29983486896 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 29983486896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574161920).

29983486896 is an abundant number, since it is smaller than the sum of its proper divisors (63164836944).

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

29983486896 is a wasteful number, since it uses less digits than its factorization.

29983486896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 29983486896 in words is "twenty-nine billion, nine hundred eighty-three million, four hundred eighty-six thousand, eight hundred ninety-six".