1789882490880 has 504 divisors, whose sum is σ = 6820044206976. Its totient is φ = 433900093440.

The previous prime is 1789882490857. The next prime is 1789882490887. The reversal of 1789882490880 is 880942889871.

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 = 1789882490799 and 1789882490808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1789882490887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44585377 + ... + 44625503.

It is an arithmetic number, because the mean of its divisors is an integer number (13531833744).

Almost surely, 2^{1789882490880} is an apocalyptic number.

1789882490880 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 1789882490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410022103488).

1789882490880 is an abundant number, since it is smaller than the sum of its proper divisors (5030161716096).

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

1789882490880 is a wasteful number, since it uses less digits than its factorization.

1789882490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186 (or 40148 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 1789882490880 in words is "one trillion, seven hundred eighty-nine billion, eight hundred eighty-two million, four hundred ninety thousand, eight hundred eighty".