166393600584960 has 216 divisors, whose sum is σ = 618181940015136. Its totient is φ = 38032822947840.

The previous prime is 166393600584901. The next prime is 166393600584979. The reversal of 166393600584960 is 69485006393661.

It is a junction number, because it is equal to n+sod(n) for n = 166393600584891 and 166393600584900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441971706 + ... + 442348025.

It is an arithmetic number, because the mean of its divisors is an integer number (2861953425996).

Almost surely, 2^{166393600584960} is an apocalyptic number.

166393600584960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166393600584960 is an abundant number, since it is smaller than the sum of its proper divisors (451788339430176).

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

166393600584960 is an equidigital number, since it uses as much as digits as its factorization.

166393600584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884319769 (or 884319748 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 66.

The spelling of 166393600584960 in words is "one hundred sixty-six trillion, three hundred ninety-three billion, six hundred million, five hundred eighty-four thousand, nine hundred sixty".