1171485020160 has 1664 divisors, whose sum is σ = 5298269061120. Its totient is φ = 238878720000.

The previous prime is 1171485020159. The next prime is 1171485020221. The reversal of 1171485020160 is 610205841711.

1171485020160 is a `hidden beast` number, since 1 + 1 + 7 + 148 + 502 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1559899785 + ... + 1559900535.

Almost surely, 2^{1171485020160} is an apocalyptic number.

1171485020160 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 1171485020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649134530560).

1171485020160 is an abundant number, since it is smaller than the sum of its proper divisors (4126784040960).

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

1171485020160 is a wasteful number, since it uses less digits than its factorization.

1171485020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1171485020160 in words is "one trillion, one hundred seventy-one billion, four hundred eighty-five million, twenty thousand, one hundred sixty".