29994248880480 has 384 divisors, whose sum is σ = 101455883182080. Its totient is φ = 7425369169920.

The previous prime is 29994248880403. The next prime is 29994248880527. The reversal of 29994248880480 is 8408884249992.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 396800769 + ... + 396876351.

It is an arithmetic number, because the mean of its divisors is an integer number (264208029120).

Almost surely, 2^{29994248880480} is an apocalyptic number.

29994248880480 is a gapful number since it is divisible by the number (20) 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 29994248880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727941591040).

29994248880480 is an abundant number, since it is smaller than the sum of its proper divisors (71461634301600).

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

29994248880480 is a wasteful number, since it uses less digits than its factorization.

29994248880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76494 (or 76486 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 75.

The spelling of 29994248880480 in words is "twenty-nine trillion, nine hundred ninety-four billion, two hundred forty-eight million, eight hundred eighty thousand, four hundred eighty".