850441052160000 has 4590 divisors, whose sum is σ = 3775230695306070. Its totient is φ = 183845781504000.

The previous prime is 850441052159957. The next prime is 850441052160137. The reversal of 850441052160000 is 61250144058.

It is a happy number.

850441052160000 is a `hidden beast` number, since 8 + 5 + 0 + 4 + 41 + 0 + 5 + 2 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 473586733154304 + 376854319005696 = 21762048^2 + 19412736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 269 ways as a sum of consecutive naturals, for example, 9555517439956 + ... + 9555517440044.

Almost surely, 2^{850441052160000} is an apocalyptic number.

850441052160000 is a gapful number since it is divisible by the number (80) 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 850441052160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887615347653035).

850441052160000 is an abundant number, since it is smaller than the sum of its proper divisors (2924789643146070).

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

850441052160000 is an frugal number, since it uses more digits than its factorization.

850441052160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 850441052160000 in words is "eight hundred fifty trillion, four hundred forty-one billion, fifty-two million, one hundred sixty thousand".