856382866560 has 1536 divisors, whose sum is σ = 3453795072000. Its totient is φ = 195124101120.

The previous prime is 856382866519. The next prime is 856382866567. The reversal of 856382866560 is 65668283658.

856382866560 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 8 + 2 + 8 + 66 + 560 = 666.

It is a super-2 number, since 2×856382866560² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856382866567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14514963811 + ... + 14514963869.

It is an arithmetic number, because the mean of its divisors is an integer number (2248564500).

Almost surely, 2^856382866560 is an apocalyptic number.

856382866560 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 856382866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726897536000).

856382866560 is an abundant number, since it is smaller than the sum of its proper divisors (2597412205440).

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

856382866560 is a wasteful number, since it uses less digits than its factorization.

856382866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 856382866560 in words is "eight hundred fifty-six billion, three hundred eighty-two million, eight hundred sixty-six thousand, five hundred sixty".