858920825664 has 448 divisors, whose sum is σ = 2809387929600. Its totient is φ = 255130214400.

The previous prime is 858920825639. The next prime is 858920825747. The reversal of 858920825664 is 466528029858.

858920825664 is a `hidden beast` number, since 8 + 589 + 20 + 8 + 25 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 483353544 + ... + 483355320.

It is an arithmetic number, because the mean of its divisors is an integer number (6270955200).

Almost surely, 2^858920825664 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 858920825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404693964800).

858920825664 is an abundant number, since it is smaller than the sum of its proper divisors (1950467103936).

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

858920825664 is a wasteful number, since it uses less digits than its factorization.

858920825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 858920825664 in words is "eight hundred fifty-eight billion, nine hundred twenty million, eight hundred twenty-five thousand, six hundred sixty-four".