1171075358880 has 1728 divisors, whose sum is σ = 5059511009280. Its totient is φ = 254741760000.

The previous prime is 1171075358879. The next prime is 1171075358891. The reversal of 1171075358880 is 888535701711.

1171075358880 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 0 + 7 + 53 + 588 + 8 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 4665638755 + ... + 4665639005.

It is an arithmetic number, because the mean of its divisors is an integer number (2927957760).

Almost surely, 2^{1171075358880} is an apocalyptic number.

1171075358880 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 1171075358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529755504640).

1171075358880 is an abundant number, since it is smaller than the sum of its proper divisors (3888435650400).

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

1171075358880 is a wasteful number, since it uses less digits than its factorization.

1171075358880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 54.

The spelling of 1171075358880 in words is "one trillion, one hundred seventy-one billion, seventy-five million, three hundred fifty-eight thousand, eight hundred eighty".