16552120320 has 312 divisors, whose sum is σ = 58075828200. Its totient is φ = 4359979008.

The previous prime is 16552120297. The next prime is 16552120337. The reversal of 16552120320 is 2302125561.

It is a happy number.

16552120320 is a `hidden beast` number, since 1 + 655 + 2 + 1 + 2 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53231616 + 16498888704 = 7296^2 + 128448^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16403976 + ... + 16404984.

It is an arithmetic number, because the mean of its divisors is an integer number (186140475).

Almost surely, 2^16552120320 is an apocalyptic number.

16552120320 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 16552120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29037914100).

16552120320 is an abundant number, since it is smaller than the sum of its proper divisors (41523707880).

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

16552120320 is a wasteful number, since it uses less digits than its factorization.

16552120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 16552120320 its reverse (2302125561), we get a palindrome (18854245881).

The spelling of 16552120320 in words is "sixteen billion, five hundred fifty-two million, one hundred twenty thousand, three hundred twenty".