1828789159680 has 1152 divisors, whose sum is σ = 7816810659840. Its totient is φ = 395828674560.

The previous prime is 1828789159667. The next prime is 1828789159697. The reversal of 1828789159680 is 869519878281.

1828789159680 is a `hidden beast` number, since 1 + 8 + 28 + 7 + 8 + 9 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1828789159599 and 1828789159608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573106885 + ... + 573110075.

It is an arithmetic number, because the mean of its divisors is an integer number (6785425920).

Almost surely, 2^{1828789159680} is an apocalyptic number.

1828789159680 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 1828789159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908405329920).

1828789159680 is an abundant number, since it is smaller than the sum of its proper divisors (5988021500160).

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

1828789159680 is a wasteful number, since it uses less digits than its factorization.

1828789159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 1828789159680 in words is "one trillion, eight hundred twenty-eight billion, seven hundred eighty-nine million, one hundred fifty-nine thousand, six hundred eighty".