166507083680 has 192 divisors, whose sum is σ = 484238684160. Its totient is φ = 52825457664.

The previous prime is 166507083679. The next prime is 166507083709. The reversal of 166507083680 is 86380705661.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 824057 + ... + 1006023.

It is an arithmetic number, because the mean of its divisors is an integer number (2522076480).

Almost surely, 2^166507083680 is an apocalyptic number.

166507083680 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 166507083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242119342080).

166507083680 is an abundant number, since it is smaller than the sum of its proper divisors (317731600480).

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

166507083680 is a wasteful number, since it uses less digits than its factorization.

166507083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182051 (or 182043 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 166507083680 in words is "one hundred sixty-six billion, five hundred seven million, eighty-three thousand, six hundred eighty".