852121728864 has 120 divisors (see below), whose sum is σ = 2864075871888. Its totient is φ = 243463345920.

The previous prime is 852121728863. The next prime is 852121728907. The reversal of 852121728864 is 468827121258.

852121728864 is a `hidden beast` number, since 8 + 521 + 2 + 17 + 28 + 86 + 4 = 666.

852121728864 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 2×852121728864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 852121728864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852121728863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23464047 + ... + 23500334.

Almost surely, 2^852121728864 is an apocalyptic number.

852121728864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

852121728864 is an abundant number, since it is smaller than the sum of its proper divisors (2011954143024).

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

852121728864 is a wasteful number, since it uses less digits than its factorization.

852121728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46964410 (or 46964393 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 852121728864 in words is "eight hundred fifty-two billion, one hundred twenty-one million, seven hundred twenty-eight thousand, eight hundred sixty-four".