1189004935680 has 400 divisors, whose sum is σ = 4263725240280. Its totient is φ = 316689481728.

The previous prime is 1189004935673. The next prime is 1189004935747. The reversal of 1189004935680 is 865394009811.

1189004935680 is a `hidden beast` number, since 1 + 1 + 8 + 90 + 0 + 493 + 5 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 978390026496 + 210614909184 = 989136^2 + 458928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202587786 + ... + 202593654.

Almost surely, 2^{1189004935680} is an apocalyptic number.

1189004935680 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 1189004935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131862620140).

1189004935680 is an abundant number, since it is smaller than the sum of its proper divisors (3074720304600).

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

1189004935680 is an frugal number, since it uses more digits than its factorization.

1189004935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1189004935680 in words is "one trillion, one hundred eighty-nine billion, four million, nine hundred thirty-five thousand, six hundred eighty".