1190809882080 has 864 divisors, whose sum is σ = 5293703600640. Its totient is φ = 238017761280.

The previous prime is 1190809882051. The next prime is 1190809882121. The reversal of 1190809882080 is 802889080911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32348485 + ... + 32385275.

It is an arithmetic number, because the mean of its divisors is an integer number (6126971760).

Almost surely, 2^{1190809882080} is an apocalyptic number.

1190809882080 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 1190809882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646851800320).

1190809882080 is an abundant number, since it is smaller than the sum of its proper divisors (4102893718560).

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

1190809882080 is a wasteful number, since it uses less digits than its factorization.

1190809882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36864 (or 36840 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 1190809882080 in words is "one trillion, one hundred ninety billion, eight hundred nine million, eight hundred eighty-two thousand, eighty".