1191218255360 has 320 divisors, whose sum is σ = 3526737667200. Its totient is φ = 384388300800.

The previous prime is 1191218255351. The next prime is 1191218255363. The reversal of 1191218255360 is 635528121911.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191218255363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14887460 + ... + 14967260.

It is an arithmetic number, because the mean of its divisors is an integer number (11021055210).

Almost surely, 2^{1191218255360} is an apocalyptic number.

1191218255360 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 1191218255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763368833600).

1191218255360 is an abundant number, since it is smaller than the sum of its proper divisors (2335519411840).

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

1191218255360 is an frugal number, since it uses more digits than its factorization.

1191218255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79862 (or 79832 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 1191218255360 in words is "one trillion, one hundred ninety-one billion, two hundred eighteen million, two hundred fifty-five thousand, three hundred sixty".