10850413916160 has 3744 divisors, whose sum is σ = 51331825359360. Its totient is φ = 2146468626432.

The previous prime is 10850413916149. The next prime is 10850413916161. The reversal of 10850413916160 is 6161931405801.

10850413916160 is a `hidden beast` number, since 1 + 0 + 8 + 504 + 139 + 1 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 (10850413916161) 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 287 ways as a sum of consecutive naturals, for example, 111859937232 + ... + 111859937328.

It is an arithmetic number, because the mean of its divisors is an integer number (13710423440).

Almost surely, 2^{10850413916160} is an apocalyptic number.

10850413916160 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 10850413916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25665912679680).

10850413916160 is an abundant number, since it is smaller than the sum of its proper divisors (40481411443200).

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

10850413916160 is an equidigital number, since it uses as much as digits as its factorization.

10850413916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10850413916160 in words is "ten trillion, eight hundred fifty billion, four hundred thirteen million, nine hundred sixteen thousand, one hundred sixty".