850823043840 has 864 divisors, whose sum is σ = 3788655316992. Its totient is φ = 171085824000.

The previous prime is 850823043823. The next prime is 850823043853. The reversal of 850823043840 is 48340328058.

850823043840 is a `hidden beast` number, since 8 + 508 + 23 + 0 + 43 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27482770 + ... + 27513710.

It is an arithmetic number, because the mean of its divisors is an integer number (4385017728).

Almost surely, 2^850823043840 is an apocalyptic number.

850823043840 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 850823043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894327658496).

850823043840 is an abundant number, since it is smaller than the sum of its proper divisors (2937832273152).

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

850823043840 is a wasteful number, since it uses less digits than its factorization.

850823043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 850823043840 in words is "eight hundred fifty billion, eight hundred twenty-three million, forty-three thousand, eight hundred forty".