852120964665 has 48 divisors (see below), whose sum is σ = 1488904574976. Its totient is φ = 450805824000.

The previous prime is 852120964663. The next prime is 852120964733. The reversal of 852120964665 is 566469021258.

852120964665 is a `hidden beast` number, since 8 + 52 + 120 + 9 + 6 + 466 + 5 = 666.

852120964665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 852120964665 - 2¹ = 852120964663 is a prime.

It is a super-2 number, since 2×852120964665² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (852120964663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46173690 + ... + 46192140.

It is an arithmetic number, because the mean of its divisors is an integer number (31018845312).

Almost surely, 2^852120964665 is an apocalyptic number.

It is an amenable number.

852120964665 is a deficient number, since it is larger than the sum of its proper divisors (636783610311).

852120964665 is a wasteful number, since it uses less digits than its factorization.

852120964665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26670 (or 26667 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 852120964665 in words is "eight hundred fifty-two billion, one hundred twenty million, nine hundred sixty-four thousand, six hundred sixty-five".