16617322782720 has 1120 divisors, whose sum is σ = 66505863188160. Its totient is φ = 3934385602560.

The previous prime is 16617322782713. The next prime is 16617322782743. The reversal of 16617322782720 is 2728722371661.

It is a happy number.

16617322782720 is a `hidden beast` number, since 1 + 66 + 17 + 32 + 278 + 272 + 0 = 666.

It is a super-2 number, since 2×16617322782720² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1569295186 + ... + 1569305774.

Almost surely, 2^{16617322782720} is an apocalyptic number.

16617322782720 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 16617322782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33252931594080).

16617322782720 is an abundant number, since it is smaller than the sum of its proper divisors (49888540405440).

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

16617322782720 is a wasteful number, since it uses less digits than its factorization.

16617322782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 16617322782720 in words is "sixteen trillion, six hundred seventeen billion, three hundred twenty-two million, seven hundred eighty-two thousand, seven hundred twenty".