16264224000 has 216 divisors, whose sum is σ = 58524457992. Its totient is φ = 4337049600.

The previous prime is 16264223959. The next prime is 16264224007. The reversal of 16264224000 is 42246261.

16264224000 is a `hidden beast` number, since 16 + 2 + 642 + 2 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181926144 + 16082297856 = 13488^2 + 126816^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16264224007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259764 + ... + 316236.

Almost surely, 2^16264224000 is an apocalyptic number.

16264224000 is a gapful number since it is divisible by the number (10) 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 16264224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262228996).

16264224000 is an abundant number, since it is smaller than the sum of its proper divisors (42260233992).

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

16264224000 is an equidigital number, since it uses as much as digits as its factorization.

16264224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56510 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 16264224000 in words is "sixteen billion, two hundred sixty-four million, two hundred twenty-four thousand".