30166347818880 has 768 divisors, whose sum is σ = 132216922598400. Its totient is φ = 6364763578368.

The previous prime is 30166347818879. The next prime is 30166347818881. The reversal of 30166347818880 is 8881874366103.

30166347818880 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 6 + 3 + 478 + 1 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (30166347818879) and next prime (30166347818881).

It is a super-2 number, since 2×30166347818880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30166347818881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19704397 + ... + 21180083.

It is an arithmetic number, because the mean of its divisors is an integer number (172157451300).

Almost surely, 2^{30166347818880} is an apocalyptic number.

30166347818880 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 30166347818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66108461299200).

30166347818880 is an abundant number, since it is smaller than the sum of its proper divisors (102050574779520).

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

30166347818880 is a wasteful number, since it uses less digits than its factorization.

30166347818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475748 (or 1475717 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 30166347818880 in words is "thirty trillion, one hundred sixty-six billion, three hundred forty-seven million, eight hundred eighteen thousand, eight hundred eighty".