30164348160 has 216 divisors, whose sum is σ = 108232007520. Its totient is φ = 8043743232.

The previous prime is 30164348141. The next prime is 30164348197. The reversal of 30164348160 is 6184346103.

It is a happy number.

30164348160 is a `hidden beast` number, since 3 + 0 + 1 + 643 + 4 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262551 + ... + 359529.

Almost surely, 2^30164348160 is an apocalyptic number.

30164348160 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 30164348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54116003760).

30164348160 is an abundant number, since it is smaller than the sum of its proper divisors (78067659360).

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

30164348160 is an frugal number, since it uses more digits than its factorization.

30164348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97015 (or 96989 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30164348160 in words is "thirty billion, one hundred sixty-four million, three hundred forty-eight thousand, one hundred sixty".