166309121160 has 2048 divisors, whose sum is σ = 789626880000. Its totient is φ = 30277877760.

The previous prime is 166309121159. The next prime is 166309121161. The reversal of 166309121160 is 61121903661.

166309121160 is a `hidden beast` number, since 1 + 6 + 630 + 9 + 1 + 2 + 1 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166309121159) and next prime (166309121161).

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

It is not an unprimeable number, because it can be changed into a prime (166309121161) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5364810345 + ... + 5364810375.

It is an arithmetic number, because the mean of its divisors is an integer number (385560000).

Almost surely, 2^166309121160 is an apocalyptic number.

166309121160 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 166309121160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440000).

166309121160 is an abundant number, since it is smaller than the sum of its proper divisors (623317758840).

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

166309121160 is a wasteful number, since it uses less digits than its factorization.

166309121160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 166309121160 in words is "one hundred sixty-six billion, three hundred nine million, one hundred twenty-one thousand, one hundred sixty".