1826825842008 has 96 divisors (see below), whose sum is σ = 5127260580000. Its totient is φ = 586910274048.

The previous prime is 1826825841977. The next prime is 1826825842021. The reversal of 1826825842008 is 8002485286281.

1826825842008 is a `hidden beast` number, since 18 + 26 + 8 + 2 + 584 + 20 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419253 + ... + 1956891.

It is an arithmetic number, because the mean of its divisors is an integer number (53408964375).

Almost surely, 2^{1826825842008} is an apocalyptic number.

1826825842008 is a gapful number since it is divisible by the number (18) 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 1826825842008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563630290000).

1826825842008 is an abundant number, since it is smaller than the sum of its proper divisors (3300434737992).

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

1826825842008 is a wasteful number, since it uses less digits than its factorization.

1826825842008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538249 (or 1538242 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 1826825842008 in words is "one trillion, eight hundred twenty-six billion, eight hundred twenty-five million, eight hundred forty-two thousand, eight".