24216868000 has 384 divisors, whose sum is σ = 68333690880. Its totient is φ = 8360755200.

The previous prime is 24216867989. The next prime is 24216868037. The reversal of 24216868000 is 86861242.

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, 125475904 + ... + 125476096.

It is an arithmetic number, because the mean of its divisors is an integer number (177952320).

Almost surely, 2^24216868000 is an apocalyptic number.

24216868000 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 24216868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34166845440).

24216868000 is an abundant number, since it is smaller than the sum of its proper divisors (44116822880).

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

24216868000 is a wasteful number, since it uses less digits than its factorization.

24216868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 24216868000 in words is "twenty-four billion, two hundred sixteen million, eight hundred sixty-eight thousand".