16851019680 has 864 divisors, whose sum is σ = 68860943424. Its totient is φ = 3856896000.

The previous prime is 16851019613. The next prime is 16851019681. The reversal of 16851019680 is 8691015861.

16851019680 is a `hidden beast` number, since 1 + 68 + 510 + 19 + 68 + 0 = 666.

16851019680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16851019681) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 411000460 + ... + 411000500.

It is an arithmetic number, because the mean of its divisors is an integer number (79700166).

Almost surely, 2^16851019680 is an apocalyptic number.

16851019680 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 16851019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34430471712).

16851019680 is an abundant number, since it is smaller than the sum of its proper divisors (52009923744).

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

16851019680 is a wasteful number, since it uses less digits than its factorization.

16851019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 16851019680 in words is "sixteen billion, eight hundred fifty-one million, nineteen thousand, six hundred eighty".