16585352314650 has 1152 divisors, whose sum is σ = 57210495436800. Its totient is φ = 3514434739200.

The previous prime is 16585352314639. The next prime is 16585352314717. The reversal of 16585352314650 is 5641325358561.

16585352314650 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 53 + 523 + 1 + 4 + 65 + 0 = 666.

It is a super-2 number, since 2×16585352314650² (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 a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6552883885 + ... + 6552886415.

It is an arithmetic number, because the mean of its divisors is an integer number (49661888400).

Almost surely, 2^{16585352314650} is an apocalyptic number.

16585352314650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16585352314650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605247718400).

16585352314650 is an abundant number, since it is smaller than the sum of its proper divisors (40625143122150).

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

16585352314650 is a wasteful number, since it uses less digits than its factorization.

16585352314650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 16585352314650 in words is "sixteen trillion, five hundred eighty-five billion, three hundred fifty-two million, three hundred fourteen thousand, six hundred fifty".