29823942720 has 448 divisors, whose sum is σ = 112541425920. Its totient is φ = 6596198400.

The previous prime is 29823942671. The next prime is 29823942737. The reversal of 29823942720 is 2724932892.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29823942720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12216700 + ... + 12219140.

It is an arithmetic number, because the mean of its divisors is an integer number (251208540).

Almost surely, 2^29823942720 is an apocalyptic number.

29823942720 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 29823942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56270712960).

29823942720 is an abundant number, since it is smaller than the sum of its proper divisors (82717483200).

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

29823942720 is a wasteful number, since it uses less digits than its factorization.

29823942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 29823942720 in words is "twenty-nine billion, eight hundred twenty-three million, nine hundred forty-two thousand, seven hundred twenty".