850396152320 has 320 divisors, whose sum is σ = 2401091320320. Its totient is φ = 284771942400.

The previous prime is 850396152311. The next prime is 850396152421. The reversal of 850396152320 is 23251693058.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168760361 + ... + 168765399.

It is an arithmetic number, because the mean of its divisors is an integer number (7503410376).

Almost surely, 2^850396152320 is an apocalyptic number.

850396152320 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 850396152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200545660160).

850396152320 is an abundant number, since it is smaller than the sum of its proper divisors (1550695168000).

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

850396152320 is a wasteful number, since it uses less digits than its factorization.

850396152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 850396152320 in words is "eight hundred fifty billion, three hundred ninety-six million, one hundred fifty-two thousand, three hundred twenty".