1171981198080 has 1440 divisors, whose sum is σ = 5302594902528. Its totient is φ = 240073113600.

The previous prime is 1171981198079. The next prime is 1171981198093. The reversal of 1171981198080 is 808911891711.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 582784275 + ... + 582786285.

Almost surely, 2^{1171981198080} is an apocalyptic number.

1171981198080 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 1171981198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651297451264).

1171981198080 is an abundant number, since it is smaller than the sum of its proper divisors (4130613704448).

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

1171981198080 is a wasteful number, since it uses less digits than its factorization.

1171981198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 54.

The spelling of 1171981198080 in words is "one trillion, one hundred seventy-one billion, nine hundred eighty-one million, one hundred ninety-eight thousand, eighty".