1061166166020 has 36 divisors (see below), whose sum is σ = 3218870704140. Its totient is φ = 282977644224.

The previous prime is 1061166166019. The next prime is 1061166166037. The reversal of 1061166166020 is 206616611601.

It is a happy number.

1061166166020 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 16 + 616 + 6 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200190025476 + 860976140544 = 447426^2 + 927888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061166166020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2947683615 + ... + 2947683974.

It is an arithmetic number, because the mean of its divisors is an integer number (89413075115).

Almost surely, 2^{1061166166020} is an apocalyptic number.

1061166166020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061166166020 is an abundant number, since it is smaller than the sum of its proper divisors (2157704538120).

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

1061166166020 is a wasteful number, since it uses less digits than its factorization.

1061166166020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895367604 (or 5895367599 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1061166166020 in words is "one trillion, sixty-one billion, one hundred sixty-six million, one hundred sixty-six thousand, twenty".