21724416000 has 768 divisors, whose sum is σ = 91990080000. Its totient is φ = 4954521600.

The previous prime is 21724415989. The next prime is 21724416031. The reversal of 21724416000 is 61442712.

21724416000 is a `hidden beast` number, since 2 + 17 + 2 + 4 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383776 + ... + 48384224.

It is an arithmetic number, because the mean of its divisors is an integer number (119778750).

Almost surely, 2^21724416000 is an apocalyptic number.

21724416000 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 21724416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040000).

21724416000 is an abundant number, since it is smaller than the sum of its proper divisors (70265664000).

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

21724416000 is an equidigital number, since it uses as much as digits as its factorization.

21724416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21724416000 its reverse (61442712), we get a palindrome (21785858712).

The spelling of 21724416000 in words is "twenty-one billion, seven hundred twenty-four million, four hundred sixteen thousand".