1082828194560 has 1728 divisors, whose sum is σ = 4745920757760. Its totient is φ = 222475714560.

The previous prime is 1082828194559. The next prime is 1082828194589. The reversal of 1082828194560 is 654918282801.

1082828194560 is a `hidden beast` number, since 108 + 2 + 8 + 2 + 81 + 9 + 456 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1082828194497 and 1082828194506.

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 191 ways as a sum of consecutive naturals, for example, 2127363586 + ... + 2127364094.

It is an arithmetic number, because the mean of its divisors is an integer number (2746481920).

Almost surely, 2^{1082828194560} is an apocalyptic number.

1082828194560 is a gapful number since it is divisible by the number (10) 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 1082828194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372960378880).

1082828194560 is an abundant number, since it is smaller than the sum of its proper divisors (3663092563200).

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

1082828194560 is a wasteful number, since it uses less digits than its factorization.

1082828194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1082828194560 in words is "one trillion, eighty-two billion, eight hundred twenty-eight million, one hundred ninety-four thousand, five hundred sixty".