29380994496 has 336 divisors, whose sum is σ = 99800915968. Its totient is φ = 8087040000.

The previous prime is 29380994491. The next prime is 29380994507. The reversal of 29380994496 is 69449908392.

It is a happy number.

29380994496 is a `hidden beast` number, since 29 + 3 + 80 + 99 + 449 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29380994491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39122121 + ... + 39122871.

Almost surely, 2^29380994496 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 29380994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900457984).

29380994496 is an abundant number, since it is smaller than the sum of its proper divisors (70419921472).

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

29380994496 is a wasteful number, since it uses less digits than its factorization.

29380994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 29380994496 in words is "twenty-nine billion, three hundred eighty million, nine hundred ninety-four thousand, four hundred ninety-six".