166040286323520 has 448 divisors, whose sum is σ = 634273486848000. Its totient is φ = 35950364835840.

The previous prime is 166040286323519. The next prime is 166040286323533. The reversal of 166040286323520 is 25323682040661.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166040286323520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155304465 + ... + 1155448175.

Almost surely, 2^{166040286323520} is an apocalyptic number.

166040286323520 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 166040286323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317136743424000).

166040286323520 is an abundant number, since it is smaller than the sum of its proper divisors (468233200524480).

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

166040286323520 is a wasteful number, since it uses less digits than its factorization.

166040286323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152806 (or 152796 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 166040286323520 in words is "one hundred sixty-six trillion, forty billion, two hundred eighty-six million, three hundred twenty-three thousand, five hundred twenty".