850347509760 has 576 divisors, whose sum is σ = 3408968384640. Its totient is φ = 192011304960.

The previous prime is 850347509749. The next prime is 850347509777. The reversal of 850347509760 is 67905743058.

850347509760 is a `hidden beast` number, since 8 + 503 + 4 + 75 + 0 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 850347509697 and 850347509706.

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, 53537020 + ... + 53552900.

It is an arithmetic number, because the mean of its divisors is an integer number (5918347890).

Almost surely, 2^850347509760 is an apocalyptic number.

850347509760 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 850347509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704484192320).

850347509760 is an abundant number, since it is smaller than the sum of its proper divisors (2558620874880).

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

850347509760 is a wasteful number, since it uses less digits than its factorization.

850347509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16004 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 850347509760 in words is "eight hundred fifty billion, three hundred forty-seven million, five hundred nine thousand, seven hundred sixty".