166186126080 has 432 divisors, whose sum is σ = 620491487616. Its totient is φ = 40823193600.

The previous prime is 166186126033. The next prime is 166186126097. The reversal of 166186126080 is 80621681661.

166186126080 is a `hidden beast` number, since 1 + 6 + 618 + 6 + 1 + 26 + 0 + 8 + 0 = 666.

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, 104980969 + ... + 104982551.

It is an arithmetic number, because the mean of its divisors is an integer number (1436322888).

Almost surely, 2^166186126080 is an apocalyptic number.

166186126080 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 166186126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310245743808).

166186126080 is an abundant number, since it is smaller than the sum of its proper divisors (454305361536).

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

166186126080 is a wasteful number, since it uses less digits than its factorization.

166186126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 166186126080 in words is "one hundred sixty-six billion, one hundred eighty-six million, one hundred twenty-six thousand, eighty".