29984848992 has 72 divisors (see below), whose sum is σ = 97450765776. Its totient is φ = 8567099136.

The previous prime is 29984848919. The next prime is 29984848997.

It is a happy number.

29984848992 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

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 a self number, because there is not a number n which added to its sum of digits gives 29984848992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29984848997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7434703 + ... + 7438734.

It is an arithmetic number, because the mean of its divisors is an integer number (1353482858).

Almost surely, 2^29984848992 is an apocalyptic number.

It is an amenable number.

29984848992 is an abundant number, since it is smaller than the sum of its proper divisors (67465916784).

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

29984848992 is a wasteful number, since it uses less digits than its factorization.

29984848992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873460 (or 14873449 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 72.

The spelling of 29984848992 in words is "twenty-nine billion, nine hundred eighty-four million, eight hundred forty-eight thousand, nine hundred ninety-two".