16221616320 has 896 divisors, whose sum is σ = 69231052800. Its totient is φ = 3121348608.

The previous prime is 16221616319. The next prime is 16221616321. The reversal of 16221616320 is 2361612261.

It is an interprime number because it is at equal distance from previous prime (16221616319) and next prime (16221616321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16221616321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48135192 + ... + 48135528.

It is an arithmetic number, because the mean of its divisors is an integer number (77266800).

Almost surely, 2^16221616320 is an apocalyptic number.

16221616320 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 16221616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34615526400).

16221616320 is an abundant number, since it is smaller than the sum of its proper divisors (53009436480).

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

16221616320 is a wasteful number, since it uses less digits than its factorization.

16221616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 16221616320 in words is "sixteen billion, two hundred twenty-one million, six hundred sixteen thousand, three hundred twenty".