166683212135220 has 768 divisors, whose sum is σ = 546447672852480. Its totient is φ = 37578050764800.

The previous prime is 166683212135183. The next prime is 166683212135227. The reversal of 166683212135220 is 22531212386661.

It is a self number, because there is not a number n which added to its sum of digits gives 166683212135220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166683212135227) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33721060069 + ... + 33721065011.

It is an arithmetic number, because the mean of its divisors is an integer number (711520407360).

Almost surely, 2^{166683212135220} is an apocalyptic number.

166683212135220 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 166683212135220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273223836426240).

166683212135220 is an abundant number, since it is smaller than the sum of its proper divisors (379764460717260).

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

166683212135220 is a wasteful number, since it uses less digits than its factorization.

166683212135220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 166683212135220 in words is "one hundred sixty-six trillion, six hundred eighty-three billion, two hundred twelve million, one hundred thirty-five thousand, two hundred twenty".