1171382535960 has 768 divisors, whose sum is σ = 4651453900800. Its totient is φ = 233528537088.

The previous prime is 1171382535959. The next prime is 1171382535979. The reversal of 1171382535960 is 695352831711.

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 191 ways as a sum of consecutive naturals, for example, 104182099 + ... + 104193341.

It is an arithmetic number, because the mean of its divisors is an integer number (6056580600).

Almost surely, 2^{1171382535960} is an apocalyptic number.

1171382535960 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 1171382535960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325726950400).

1171382535960 is an abundant number, since it is smaller than the sum of its proper divisors (3480071364840).

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

1171382535960 is a wasteful number, since it uses less digits than its factorization.

1171382535960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 1171382535960 in words is "one trillion, one hundred seventy-one billion, three hundred eighty-two million, five hundred thirty-five thousand, nine hundred sixty".