850310496000 has 1728 divisors, whose sum is σ = 3740657356800. Its totient is φ = 181149696000.

The previous prime is 850310495989. The next prime is 850310496047. The reversal of 850310496000 is 694013058.

850310496000 is a `hidden beast` number, since 8 + 5 + 0 + 3 + 1 + 0 + 49 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3026015860 + ... + 3026016140.

Almost surely, 2^850310496000 is an apocalyptic number.

850310496000 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 850310496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870328678400).

850310496000 is an abundant number, since it is smaller than the sum of its proper divisors (2890346860800).

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

850310496000 is a wasteful number, since it uses less digits than its factorization.

850310496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 850310496000 in words is "eight hundred fifty billion, three hundred ten million, four hundred ninety-six thousand".