1189116845280 has 2304 divisors, whose sum is σ = 5578530048000. Its totient is φ = 237685819392.

The previous prime is 1189116845239. The next prime is 1189116845327. The reversal of 1189116845280 is 825486119811.

1189116845280 is a `hidden beast` number, since 1 + 18 + 91 + 16 + 8 + 4 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62585097111 + ... + 62585097129.

It is an arithmetic number, because the mean of its divisors is an integer number (2421237000).

Almost surely, 2^{1189116845280} is an apocalyptic number.

1189116845280 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 1189116845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789265024000).

1189116845280 is an abundant number, since it is smaller than the sum of its proper divisors (4389413202720).

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

1189116845280 is an frugal number, since it uses more digits than its factorization.

1189116845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 1189116845280 in words is "one trillion, one hundred eighty-nine billion, one hundred sixteen million, eight hundred forty-five thousand, two hundred eighty".