856217640960 has 1120 divisors, whose sum is σ = 3468307312800. Its totient is φ = 200162672640.

The previous prime is 856217640947. The next prime is 856217640983. The reversal of 856217640960 is 69046712658.

856217640960 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 176 + 409 + 60 = 666.

It is a super-2 number, since 2×856217640960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 856217640897 and 856217640906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1058365036 + ... + 1058365844.

Almost surely, 2^856217640960 is an apocalyptic number.

856217640960 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 856217640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734153656400).

856217640960 is an abundant number, since it is smaller than the sum of its proper divisors (2612089671840).

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

856217640960 is a wasteful number, since it uses less digits than its factorization.

856217640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 856217640960 in words is "eight hundred fifty-six billion, two hundred seventeen million, six hundred forty thousand, nine hundred sixty".