168853852240 has 80 divisors (see below), whose sum is σ = 402545016720. Its totient is φ = 65831178240.

The previous prime is 168853852217. The next prime is 168853852259. The reversal of 168853852240 is 42258358861.

It can be written as a sum of positive squares in 8 ways, for example, as 274631184 + 168579221056 = 16572^2 + 410584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×168853852240³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3482242 + ... + 3530398.

It is an arithmetic number, because the mean of its divisors is an integer number (5031812709).

Almost surely, 2^168853852240 is an apocalyptic number.

168853852240 is a gapful number since it is divisible by the number (10) 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 168853852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201272508360).

168853852240 is an abundant number, since it is smaller than the sum of its proper divisors (233691164480).

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

168853852240 is a wasteful number, since it uses less digits than its factorization.

168853852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49280 (or 49274 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 168853852240 in words is "one hundred sixty-eight billion, eight hundred fifty-three million, eight hundred fifty-two thousand, two hundred forty".