16755858065664 has 243 divisors, whose sum is σ = 48828261448057. Its totient is φ = 5526144694272.

The previous prime is 16755858065629. The next prime is 16755858065671. The reversal of 16755858065664 is 46656085855761.

The square root of 16755858065664 is 4093392.

It is a perfect power (a square), and thus also a powerful number.

16755858065664 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 5 + 8 + 58 + 0 + 6 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8125236230400 + 8630621835264 = 2850480^2 + 2937792^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16755858065592 and 16755858065601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21023660914 + ... + 21023661710.

Almost surely, 2^{16755858065664} is an apocalyptic number.

16755858065664 is the 4093392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16755858065664

16755858065664 is an abundant number, since it is smaller than the sum of its proper divisors (32072403382393).

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

16755858065664 is an frugal number, since it uses more digits than its factorization.

16755858065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 72.

The spelling of 16755858065664 in words is "sixteen trillion, seven hundred fifty-five billion, eight hundred fifty-eight million, sixty-five thousand, six hundred sixty-four".