16715200320 has 1344 divisors, whose sum is σ = 76686704640. Its totient is φ = 3245654016.

The previous prime is 16715200301. The next prime is 16715200321. The reversal of 16715200320 is 2300251761.

It is a happy number.

16715200320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16715200321) 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 191 ways as a sum of consecutive naturals, for example, 283308451 + ... + 283308509.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^16715200320 is an apocalyptic number.

16715200320 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 16715200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343352320).

16715200320 is an abundant number, since it is smaller than the sum of its proper divisors (59971504320).

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

16715200320 is a wasteful number, since it uses less digits than its factorization.

16715200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 16715200320 in words is "sixteen billion, seven hundred fifteen million, two hundred thousand, three hundred twenty".