166882284560 has 80 divisors (see below), whose sum is σ = 389820697200. Its totient is φ = 66440398848.

The previous prime is 166882284557. The next prime is 166882284571. The reversal of 166882284560 is 65482288661.

It can be written as a sum of positive squares in 8 ways, for example, as 13973131264 + 152909153296 = 118208^2 + 391036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 166882284496 and 166882284505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26617106 + ... + 26623374.

It is an arithmetic number, because the mean of its divisors is an integer number (4872758715).

Almost surely, 2^166882284560 is an apocalyptic number.

166882284560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166882284560 is an abundant number, since it is smaller than the sum of its proper divisors (222938412640).

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

166882284560 is a wasteful number, since it uses less digits than its factorization.

166882284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 166882284560 in words is "one hundred sixty-six billion, eight hundred eighty-two million, two hundred eighty-four thousand, five hundred sixty".