166845199772880 has 640 divisors, whose sum is σ = 619930104791040. Its totient is φ = 41124230737920.

The previous prime is 166845199772861. The next prime is 166845199772887. The reversal of 166845199772880 is 88277991548661.

166845199772880 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 4 + 519 + 9 + 77 + 28 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166845199772880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166845199772887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051795332 + ... + 1051953948.

It is an arithmetic number, because the mean of its divisors is an integer number (968640788736).

Almost surely, 2^{166845199772880} is an apocalyptic number.

166845199772880 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 166845199772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309965052395520).

166845199772880 is an abundant number, since it is smaller than the sum of its proper divisors (453084905018160).

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

166845199772880 is a wasteful number, since it uses less digits than its factorization.

166845199772880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159376 (or 159364 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 166845199772880 in words is "one hundred sixty-six trillion, eight hundred forty-five billion, one hundred ninety-nine million, seven hundred seventy-two thousand, eight hundred eighty".