2852696685168 has 320 divisors, whose sum is σ = 9145317519360. Its totient is φ = 843898003200.

The previous prime is 2852696685109. The next prime is 2852696685233. The reversal of 2852696685168 is 8615866962582.

2852696685168 is a `hidden beast` number, since 2 + 8 + 526 + 9 + 6 + 6 + 85 + 16 + 8 = 666.

2852696685168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2852696685168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2852696685096 and 2852696685105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750115555 + ... + 750119357.

It is an arithmetic number, because the mean of its divisors is an integer number (28579117248).

Almost surely, 2^{2852696685168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852696685168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572658759680).

2852696685168 is an abundant number, since it is smaller than the sum of its proper divisors (6292620834192).

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

2852696685168 is a wasteful number, since it uses less digits than its factorization.

2852696685168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545 (or 7533 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 2852696685168 in words is "two trillion, eight hundred fifty-two billion, six hundred ninety-six million, six hundred eighty-five thousand, one hundred sixty-eight".