30366161280 has 1280 divisors, whose sum is σ = 137594540160. Its totient is φ = 6210846720.

The previous prime is 30366161279. The next prime is 30366161297. The reversal of 30366161280 is 8216166303.

30366161280 is a `hidden beast` number, since 3 + 0 + 36 + 6 + 1 + 612 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 193414962 + ... + 193415118.

Almost surely, 2^30366161280 is an apocalyptic number.

30366161280 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 30366161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68797270080).

30366161280 is an abundant number, since it is smaller than the sum of its proper divisors (107228378880).

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

30366161280 is a wasteful number, since it uses less digits than its factorization.

30366161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

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

The spelling of 30366161280 in words is "thirty billion, three hundred sixty-six million, one hundred sixty-one thousand, two hundred eighty".