853801872196 has 81 divisors (see below), whose sum is σ = 1882451788119. Its totient is φ = 337701244608.

The previous prime is 853801872169. The next prime is 853801872223. The reversal of 853801872196 is 691278108358.

The square root of 853801872196 is 924014.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (853801872169) and next prime (853801872223).

It can be written as a sum of positive squares in 4 ways, for example, as 42937641796 + 810864230400 = 207214^2 + 900480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 853801872196.

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 26 ways as a sum of consecutive naturals, for example, 168168010 + ... + 168173086.

Almost surely, 2^853801872196 is an apocalyptic number.

853801872196 is the 924014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853801872196

853801872196 is an abundant number, since it is smaller than the sum of its proper divisors (1028649915923).

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

853801872196 is an equidigital number, since it uses as much as digits as its factorization.

853801872196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 853801872196 in words is "eight hundred fifty-three billion, eight hundred one million, eight hundred seventy-two thousand, one hundred ninety-six".