858056564960 has 384 divisors, whose sum is σ = 2479509688320. Its totient is φ = 274065555456.

The previous prime is 858056564951. The next prime is 858056564969. The reversal of 858056564960 is 69465650858.

It is an interprime number because it is at equal distance from previous prime (858056564951) and next prime (858056564969).

It is a super-2 number, since 2×858056564960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 858056564893 and 858056564902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858056564969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719242124 + ... + 719243316.

It is an arithmetic number, because the mean of its divisors is an integer number (6457056480).

Almost surely, 2^858056564960 is an apocalyptic number.

858056564960 is a gapful number since it is divisible by the number (80) 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 858056564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239754844160).

858056564960 is an abundant number, since it is smaller than the sum of its proper divisors (1621453123360).

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

858056564960 is a wasteful number, since it uses less digits than its factorization.

858056564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 62.

The spelling of 858056564960 in words is "eight hundred fifty-eight billion, fifty-six million, five hundred sixty-four thousand, nine hundred sixty".