1289149930080 has 576 divisors, whose sum is σ = 4848565962240. Its totient is φ = 310458728448.

The previous prime is 1289149930073. The next prime is 1289149930121. The reversal of 1289149930080 is 800399419821.

It is a junction number, because it is equal to n+sod(n) for n = 1289149929999 and 1289149930026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193185624 + ... + 193192296.

It is an arithmetic number, because the mean of its divisors is an integer number (8417649240).

Almost surely, 2^{1289149930080} is an apocalyptic number.

1289149930080 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 1289149930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424282981120).

1289149930080 is an abundant number, since it is smaller than the sum of its proper divisors (3559416032160).

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

1289149930080 is a wasteful number, since it uses less digits than its factorization.

1289149930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1289149930080 in words is "one trillion, two hundred eighty-nine billion, one hundred forty-nine million, nine hundred thirty thousand, eighty".