1069166085120 has 528 divisors, whose sum is σ = 4281552362880. Its totient is φ = 241628479488.

The previous prime is 1069166085017. The next prime is 1069166085151. The reversal of 1069166085120 is 215806619601.

1069166085120 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 16 + 608 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×1069166085120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28689219 + ... + 28726461.

Almost surely, 2^{1069166085120} is an apocalyptic number.

1069166085120 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 1069166085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140776181440).

1069166085120 is an abundant number, since it is smaller than the sum of its proper divisors (3212386277760).

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

1069166085120 is a wasteful number, since it uses less digits than its factorization.

1069166085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37370 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1069166085120 in words is "one trillion, sixty-nine billion, one hundred sixty-six million, eighty-five thousand, one hundred twenty".