856348026240 has 1024 divisors, whose sum is σ = 3335863357440. Its totient is φ = 182651977728.

The previous prime is 856348026223. The next prime is 856348026251. The reversal of 856348026240 is 42620843658.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 856348026240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3091508982 + ... + 3091509258.

It is an arithmetic number, because the mean of its divisors is an integer number (3257679060).

Almost surely, 2^856348026240 is an apocalyptic number.

856348026240 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 856348026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667931678720).

856348026240 is an abundant number, since it is smaller than the sum of its proper divisors (2479515331200).

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

856348026240 is a wasteful number, since it uses less digits than its factorization.

856348026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

Adding to 856348026240 its reverse (42620843658), we get a palindrome (898968869898).

The spelling of 856348026240 in words is "eight hundred fifty-six billion, three hundred forty-eight million, twenty-six thousand, two hundred forty".