849895200000 has 2592 divisors, whose sum is σ = 4041112602240. Its totient is φ = 174182400000.

The previous prime is 849895199987. The next prime is 849895200001. The reversal of 849895200000 is 2598948.

849895200000 is a `hidden beast` number, since 8 + 49 + 89 + 520 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849895200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11642399964 + ... + 11642400036.

It is an arithmetic number, because the mean of its divisors is an integer number (1559071220).

Almost surely, 2^849895200000 is an apocalyptic number.

849895200000 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 849895200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020556301120).

849895200000 is an abundant number, since it is smaller than the sum of its proper divisors (3191217402240).

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

849895200000 is an equidigital number, since it uses as much as digits as its factorization.

849895200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

Adding to 849895200000 its reverse (2598948), we get a palindrome (849897798948).

The spelling of 849895200000 in words is "eight hundred forty-nine billion, eight hundred ninety-five million, two hundred thousand".