826108284960 has 1152 divisors, whose sum is σ = 3467952423936. Its totient is φ = 174983086080.

The previous prime is 826108284941. The next prime is 826108284971. The reversal of 826108284960 is 69482801628.

826108284960 is a `hidden beast` number, since 8 + 26 + 108 + 28 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 826108284897 and 826108284906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2214767334 + ... + 2214767706.

It is an arithmetic number, because the mean of its divisors is an integer number (3010375368).

Almost surely, 2^826108284960 is an apocalyptic number.

826108284960 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 826108284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733976211968).

826108284960 is an abundant number, since it is smaller than the sum of its proper divisors (2641844138976).

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

826108284960 is a wasteful number, since it uses less digits than its factorization.

826108284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 826108284960 in words is "eight hundred twenty-six billion, one hundred eight million, two hundred eighty-four thousand, nine hundred sixty".