16856493050880 has 1056 divisors, whose sum is σ = 69432239245824. Its totient is φ = 3841297219584.

The previous prime is 16856493050867. The next prime is 16856493050959. The reversal of 16856493050880 is 8805039465861.

16856493050880 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 6 + 49 + 3 + 0 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3074316619 + ... + 3074322101.

Almost surely, 2^{16856493050880} is an apocalyptic number.

16856493050880 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 16856493050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34716119622912).

16856493050880 is an abundant number, since it is smaller than the sum of its proper divisors (52575746194944).

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

16856493050880 is an equidigital number, since it uses as much as digits as its factorization.

16856493050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 16856493050880 in words is "sixteen trillion, eight hundred fifty-six billion, four hundred ninety-three million, fifty thousand, eight hundred eighty".