166168306080 has 1728 divisors, whose sum is σ = 769574856960. Its totient is φ = 32291094528.

The previous prime is 166168306069. The next prime is 166168306111. The reversal of 166168306080 is 80603861661.

166168306080 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 6 + 8 + 30 + 608 + 0 = 666.

It is a super-2 number, since 2×166168306080² (a number of 23 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 287 ways as a sum of consecutive naturals, for example, 524190082 + ... + 524190398.

It is an arithmetic number, because the mean of its divisors is an integer number (445355820).

Almost surely, 2^166168306080 is an apocalyptic number.

166168306080 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 166168306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384787428480).

166168306080 is an abundant number, since it is smaller than the sum of its proper divisors (603406550880).

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

166168306080 is a wasteful number, since it uses less digits than its factorization.

166168306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 166168306080 in words is "one hundred sixty-six billion, one hundred sixty-eight million, three hundred six thousand, eighty".