16809850688256 has 576 divisors, whose sum is σ = 53929784240640. Its totient is φ = 5144155914240.

The previous prime is 16809850688251. The next prime is 16809850688263. The reversal of 16809850688256 is 65288605890861.

16809850688256 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 98 + 506 + 8 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×16809850688256² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16809850688251) 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, 4815194671 + ... + 4815198161.

It is an arithmetic number, because the mean of its divisors is an integer number (93628097640).

Almost surely, 2^{16809850688256} is an apocalyptic number.

16809850688256 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 16809850688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26964892120320).

16809850688256 is an abundant number, since it is smaller than the sum of its proper divisors (37119933552384).

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

16809850688256 is a wasteful number, since it uses less digits than its factorization.

16809850688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 16809850688256 in words is "sixteen trillion, eight hundred nine billion, eight hundred fifty million, six hundred eighty-eight thousand, two hundred fifty-six".