856238276160 has 336 divisors, whose sum is σ = 2992476120192. Its totient is φ = 224686080000.

The previous prime is 856238276149. The next prime is 856238276281. The reversal of 856238276160 is 61672832658.

856238276160 is a `hidden beast` number, since 8 + 5 + 623 + 8 + 2 + 7 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×856238276160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 856238276097 and 856238276106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46522960 + ... + 46541360.

Almost surely, 2^856238276160 is an apocalyptic number.

856238276160 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 856238276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496238060096).

856238276160 is an abundant number, since it is smaller than the sum of its proper divisors (2136237844032).

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

856238276160 is a wasteful number, since it uses less digits than its factorization.

856238276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18682 (or 18669 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 856238276160 in words is "eight hundred fifty-six billion, two hundred thirty-eight million, two hundred seventy-six thousand, one hundred sixty".