166115082240 has 816 divisors, whose sum is σ = 628134174720. Its totient is φ = 40485519360.

The previous prime is 166115082233. The next prime is 166115082241. The reversal of 166115082240 is 42280511661.

It is a happy number.

166115082240 is a `hidden beast` number, since 16 + 611 + 5 + 0 + 8 + 2 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 166115082195 and 166115082204.

It is not an unprimeable number, because it can be changed into a prime (166115082241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2102722521 + ... + 2102722599.

Almost surely, 2^166115082240 is an apocalyptic number.

166115082240 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 166115082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314067087360).

166115082240 is an abundant number, since it is smaller than the sum of its proper divisors (462019092480).

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

166115082240 is an equidigital number, since it uses as much as digits as its factorization.

166115082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 166115082240 in words is "one hundred sixty-six billion, one hundred fifteen million, eighty-two thousand, two hundred forty".