16851749016960 has 1280 divisors, whose sum is σ = 70814162200320. Its totient is φ = 3765027225600.

The previous prime is 16851749016937. The next prime is 16851749016961. The reversal of 16851749016960 is 6961094715861.

16851749016960 is a `hidden beast` number, since 1 + 6 + 8 + 51 + 7 + 490 + 1 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×16851749016960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16851749016961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6012038919 + ... + 6012041721.

It is an arithmetic number, because the mean of its divisors is an integer number (55323564219).

Almost surely, 2^{16851749016960} is an apocalyptic number.

16851749016960 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 16851749016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35407081100160).

16851749016960 is an abundant number, since it is smaller than the sum of its proper divisors (53962413183360).

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

16851749016960 is a wasteful number, since it uses less digits than its factorization.

16851749016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 16851749016960 in words is "sixteen trillion, eight hundred fifty-one billion, seven hundred forty-nine million, sixteen thousand, nine hundred sixty".