852800409919 has 8 divisors (see below), whose sum is σ = 898451262080. Its totient is φ = 807226219800.

The previous prime is 852800409911. The next prime is 852800409941. The reversal of 852800409919 is 919904008258.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 852800409919 - 2³ = 852800409911 is a prime.

It is a super-2 number, since 2×852800409919² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 852800409919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852800409911) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19142667 + ... + 19187164.

It is an arithmetic number, because the mean of its divisors is an integer number (112306407760).

Almost surely, 2^852800409919 is an apocalyptic number.

852800409919 is a deficient number, since it is larger than the sum of its proper divisors (45650852161).

852800409919 is a wasteful number, since it uses less digits than its factorization.

852800409919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38331021.

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 852800409919 in words is "eight hundred fifty-two billion, eight hundred million, four hundred nine thousand, nine hundred nineteen".