849706585185920 has 768 divisors, whose sum is σ = 2600580432384000. Its totient is φ = 262506284974080.

The previous prime is 849706585185911. The next prime is 849706585185961. The reversal of 849706585185920 is 29581585607948.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48585192536 + ... + 48585210024.

It is an arithmetic number, because the mean of its divisors is an integer number (3386172438000).

Almost surely, 2^{849706585185920} is an apocalyptic number.

849706585185920 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 849706585185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300290216192000).

849706585185920 is an abundant number, since it is smaller than the sum of its proper divisors (1750873847198080).

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

849706585185920 is a wasteful number, since it uses less digits than its factorization.

849706585185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769 (or 18750 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 77.

The spelling of 849706585185920 in words is "eight hundred forty-nine trillion, seven hundred six billion, five hundred eighty-five million, one hundred eighty-five thousand, nine hundred twenty".