856415823120 has 960 divisors, whose sum is σ = 3697495845120. Its totient is φ = 180360069120.

The previous prime is 856415823119. The next prime is 856415823143. The reversal of 856415823120 is 21328514658.

856415823120 is a `hidden beast` number, since 8 + 5 + 6 + 41 + 582 + 3 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57753147 + ... + 57767973.

It is an arithmetic number, because the mean of its divisors is an integer number (3851558172).

Almost surely, 2^856415823120 is an apocalyptic number.

856415823120 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 856415823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848747922560).

856415823120 is an abundant number, since it is smaller than the sum of its proper divisors (2841080022000).

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

856415823120 is a wasteful number, since it uses less digits than its factorization.

856415823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 856415823120 in words is "eight hundred fifty-six billion, four hundred fifteen million, eight hundred twenty-three thousand, one hundred twenty".