1826079999120 has 800 divisors, whose sum is σ = 6965070456960. Its totient is φ = 440681472000.

The previous prime is 1826079999109. The next prime is 1826079999143. The reversal of 1826079999120 is 219999706281.

1826079999120 is a `hidden beast` number, since 1 + 8 + 2 + 607 + 9 + 9 + 9 + 9 + 12 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1416663436 + ... + 1416664724.

Almost surely, 2^{1826079999120} is an apocalyptic number.

1826079999120 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 1826079999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482535228480).

1826079999120 is an abundant number, since it is smaller than the sum of its proper divisors (5138990457840).

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

1826079999120 is a wasteful number, since it uses less digits than its factorization.

1826079999120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 1826079999120 in words is "one trillion, eight hundred twenty-six billion, seventy-nine million, nine hundred ninety-nine thousand, one hundred twenty".