166893057720 has 320 divisors, whose sum is σ = 573517929600. Its totient is φ = 43517295360.

The previous prime is 166893057719. The next prime is 166893057731. The reversal of 166893057720 is 27750398661.

166893057720 is a `hidden beast` number, since 1 + 6 + 68 + 9 + 3 + 0 + 577 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30171355 + ... + 30176885.

It is an arithmetic number, because the mean of its divisors is an integer number (1792243530).

Almost surely, 2^166893057720 is an apocalyptic number.

166893057720 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 166893057720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286758964800).

166893057720 is an abundant number, since it is smaller than the sum of its proper divisors (406624871880).

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

166893057720 is a wasteful number, since it uses less digits than its factorization.

166893057720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 166893057720 in words is "one hundred sixty-six billion, eight hundred ninety-three million, fifty-seven thousand, seven hundred twenty".