29823924864 has 128 divisors (see below), whose sum is σ = 85329446400. Its totient is φ = 9198959616.

The previous prime is 29823924863. The next prime is 29823924881. The reversal of 29823924864 is 46842932892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (29823924863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266197 + ... + 361259.

It is an arithmetic number, because the mean of its divisors is an integer number (666636300).

Almost surely, 2^29823924864 is an apocalyptic number.

29823924864 is a gapful number since it is divisible by the number (24) 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 29823924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664723200).

29823924864 is an abundant number, since it is smaller than the sum of its proper divisors (55505521536).

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

29823924864 is a wasteful number, since it uses less digits than its factorization.

29823924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95142 (or 95130 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 29823924864 in words is "twenty-nine billion, eight hundred twenty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".