850441796640 has 288 divisors, whose sum is σ = 3168022777920. Its totient is φ = 214848267264.

The previous prime is 850441796639. The next prime is 850441796657. The reversal of 850441796640 is 46697144058.

850441796640 is a `hidden beast` number, since 8 + 50 + 441 + 7 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×850441796640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163102 + ... + 1314338.

It is an arithmetic number, because the mean of its divisors is an integer number (11000079090).

Almost surely, 2^850441796640 is an apocalyptic number.

850441796640 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 850441796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584011388960).

850441796640 is an abundant number, since it is smaller than the sum of its proper divisors (2317580981280).

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

850441796640 is a wasteful number, since it uses less digits than its factorization.

850441796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151286 (or 1151266 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 850441796640 in words is "eight hundred fifty billion, four hundred forty-one million, seven hundred ninety-six thousand, six hundred forty".