856103152320 has 1344 divisors, whose sum is σ = 3596606447616. Its totient is φ = 191819612160.

The previous prime is 856103152319. The next prime is 856103152361. The reversal of 856103152320 is 23251301658.

856103152320 is a `hidden beast` number, since 8 + 5 + 6 + 10 + 315 + 2 + 320 = 666.

856103152320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×856103152320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 532732957 + ... + 532734563.

It is an arithmetic number, because the mean of its divisors is an integer number (2676046464).

Almost surely, 2^856103152320 is an apocalyptic number.

856103152320 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 856103152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798303223808).

856103152320 is an abundant number, since it is smaller than the sum of its proper divisors (2740503295296).

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

856103152320 is a wasteful number, since it uses less digits than its factorization.

856103152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 856103152320 its reverse (23251301658), we get a palindrome (879354453978).

The spelling of 856103152320 in words is "eight hundred fifty-six billion, one hundred three million, one hundred fifty-two thousand, three hundred twenty".