16200330769728 has 672 divisors, whose sum is σ = 53937913236480. Its totient is φ = 4553778216960.

The previous prime is 16200330769643. The next prime is 16200330769747. The reversal of 16200330769728 is 82796703300261.

16200330769728 is a `hidden beast` number, since 1 + 6 + 200 + 3 + 307 + 69 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×16200330769728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51105144226 + ... + 51105144542.

It is an arithmetic number, because the mean of its divisors is an integer number (80264751840).

Almost surely, 2^{16200330769728} is an apocalyptic number.

16200330769728 is a gapful number since it is divisible by the number (18) 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 16200330769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968956618240).

16200330769728 is an abundant number, since it is smaller than the sum of its proper divisors (37737582466752).

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

16200330769728 is a wasteful number, since it uses less digits than its factorization.

16200330769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 16200330769728 in words is "sixteen trillion, two hundred billion, three hundred thirty million, seven hundred sixty-nine thousand, seven hundred twenty-eight".