1191101086080 has 1024 divisors, whose sum is σ = 4469507481600. Its totient is φ = 303137095680.

The previous prime is 1191101086037. The next prime is 1191101086099. The reversal of 1191101086080 is 806801011911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4208837619 + ... + 4208837901.

It is an arithmetic number, because the mean of its divisors is an integer number (4364753400).

Almost surely, 2^{1191101086080} is an apocalyptic number.

1191101086080 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 1191101086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234753740800).

1191101086080 is an abundant number, since it is smaller than the sum of its proper divisors (3278406395520).

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

1191101086080 is an frugal number, since it uses more digits than its factorization.

1191101086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 36.

Adding to 1191101086080 its reverse (806801011911), we get a palindrome (1997902097991).

The spelling of 1191101086080 in words is "one trillion, one hundred ninety-one billion, one hundred one million, eighty-six thousand, eighty".