16545789216 has 384 divisors, whose sum is σ = 55041638400. Its totient is φ = 4790016000.

The previous prime is 16545789203. The next prime is 16545789217. The reversal of 16545789216 is 61298754561.

It is a happy number.

16545789216 is a `hidden beast` number, since 1 + 6 + 54 + 578 + 9 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16545789217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26221221 + ... + 26221851.

It is an arithmetic number, because the mean of its divisors is an integer number (143337600).

Almost surely, 2^16545789216 is an apocalyptic number.

16545789216 is a gapful number since it is divisible by the number (16) 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 16545789216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520819200).

16545789216 is an abundant number, since it is smaller than the sum of its proper divisors (38495849184).

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

16545789216 is a wasteful number, since it uses less digits than its factorization.

16545789216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 16545789216 in words is "sixteen billion, five hundred forty-five million, seven hundred eighty-nine thousand, two hundred sixteen".