856576512 has 320 divisors, whose sum is σ = 2851960320. Its totient is φ = 251596800.

The previous prime is 856576493. The next prime is 856576543. The reversal of 856576512 is 215675658.

856576512 is a `hidden beast` number, since 8 + 5 + 65 + 76 + 512 = 666.

It is a super-2 number, since 2×856576512² = 1467446641820172288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538687 + ... + 6538817.

It is an arithmetic number, because the mean of its divisors is an integer number (8912376).

Almost surely, 2^856576512 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 856576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425980160).

856576512 is an abundant number, since it is smaller than the sum of its proper divisors (1995383808).

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

856576512 is a wasteful number, since it uses less digits than its factorization.

856576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 856576512 is about 29267.3284055788. The cubic root of 856576512 is about 949.7049913166.

The spelling of 856576512 in words is "eight hundred fifty-six million, five hundred seventy-six thousand, five hundred twelve".