30166919424 has 180 divisors, whose sum is σ = 95244719724. Its totient is φ = 9464020992.

The previous prime is 30166919417. The next prime is 30166919483. The reversal of 30166919424 is 42491966103.

It can be written as a sum of positive squares in 2 ways, for example, as 16796160000 + 13370759424 = 129600^2 + 115632^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30166919424.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309724 + ... + 395300.

Almost surely, 2^30166919424 is an apocalyptic number.

30166919424 is a gapful number since it is divisible by the number (34) 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 30166919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47622359862).

30166919424 is an abundant number, since it is smaller than the sum of its proper divisors (65077800300).

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

30166919424 is an equidigital number, since it uses as much as digits as its factorization.

30166919424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85622 (or 85599 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 30166919424 in words is "thirty billion, one hundred sixty-six million, nine hundred nineteen thousand, four hundred twenty-four".