166783146266880 has 6912 divisors, whose sum is σ = 776127016304640. Its totient is φ = 33710564966400.

The previous prime is 166783146266843. The next prime is 166783146266929. The reversal of 166783146266880 is 88662641387661.

166783146266880 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 83 + 1 + 462 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 166783146266799 and 166783146266808.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1719413878992 + ... + 1719413879088.

It is an arithmetic number, because the mean of its divisors is an integer number (112286894720).

Almost surely, 2^{166783146266880} is an apocalyptic number.

166783146266880 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 166783146266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388063508152320).

166783146266880 is an abundant number, since it is smaller than the sum of its proper divisors (609343870037760).

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

166783146266880 is a wasteful number, since it uses less digits than its factorization.

166783146266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 166783146266880 in words is "one hundred sixty-six trillion, seven hundred eighty-three billion, one hundred forty-six million, two hundred sixty-six thousand, eight hundred eighty".