826082108544 has 384 divisors, whose sum is σ = 2768245401600. Its totient is φ = 213648906240.

The previous prime is 826082108497. The next prime is 826082108557. The reversal of 826082108544 is 445801280628.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 826082108493 and 826082108502.

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 47 ways as a sum of consecutive naturals, for example, 77728959 + ... + 77739585.

It is an arithmetic number, because the mean of its divisors is an integer number (7208972400).

Almost surely, 2^826082108544 is an apocalyptic number.

826082108544 is a gapful number since it is divisible by the number (84) 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 826082108544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384122700800).

826082108544 is an abundant number, since it is smaller than the sum of its proper divisors (1942163293056).

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

826082108544 is a wasteful number, since it uses less digits than its factorization.

826082108544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 826082108544 in words is "eight hundred twenty-six billion, eighty-two million, one hundred eight thousand, five hundred forty-four".