853818297652320 has 3072 divisors, whose sum is σ = 3817272008245248. Its totient is φ = 154692550656000.

The previous prime is 853818297652247. The next prime is 853818297652321. The reversal of 853818297652320 is 23256792818358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853818297652321) 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 511 ways as a sum of consecutive naturals, for example, 294724989112 + ... + 294724992008.

It is an arithmetic number, because the mean of its divisors is an integer number (1242601565184).

Almost surely, 2^{853818297652320} is an apocalyptic number.

853818297652320 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 853818297652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908636004122624).

853818297652320 is an abundant number, since it is smaller than the sum of its proper divisors (2963453710592928).

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

853818297652320 is a wasteful number, since it uses less digits than its factorization.

853818297652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 853818297652320 in words is "eight hundred fifty-three trillion, eight hundred eighteen billion, two hundred ninety-seven million, six hundred fifty-two thousand, three hundred twenty".