166224199680 has 1216 divisors, whose sum is σ = 748933493760. Its totient is φ = 33973862400.

The previous prime is 166224199639. The next prime is 166224199711. The reversal of 166224199680 is 86991422661.

166224199680 is a `hidden beast` number, since 1 + 6 + 62 + 2 + 419 + 96 + 80 = 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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724986850 + ... + 2724986910.

Almost surely, 2^166224199680 is an apocalyptic number.

166224199680 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 166224199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374466746880).

166224199680 is an abundant number, since it is smaller than the sum of its proper divisors (582709294080).

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

166224199680 is an frugal number, since it uses more digits than its factorization.

166224199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 166224199680 in words is "one hundred sixty-six billion, two hundred twenty-four million, one hundred ninety-nine thousand, six hundred eighty".