30166123680 has 1920 divisors, whose sum is σ = 146829957120. Its totient is φ = 5643509760.

The previous prime is 30166123621. The next prime is 30166123681. The reversal of 30166123680 is 8632166103.

30166123680 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 612 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30166123681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 701537739 + ... + 701537781.

It is an arithmetic number, because the mean of its divisors is an integer number (76473936).

Almost surely, 2^30166123680 is an apocalyptic number.

30166123680 is a gapful number since it is divisible by the number (30) 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 30166123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73414978560).

30166123680 is an abundant number, since it is smaller than the sum of its proper divisors (116663833440).

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

30166123680 is a wasteful number, since it uses less digits than its factorization.

30166123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 30166123680 its reverse (8632166103), we get a palindrome (38798289783).

The spelling of 30166123680 in words is "thirty billion, one hundred sixty-six million, one hundred twenty-three thousand, six hundred eighty".