30420556508160 has 2816 divisors, whose sum is σ = 143809053696000. Its totient is φ = 6038769106944.

The previous prime is 30420556508137. The next prime is 30420556508161. The reversal of 30420556508160 is 6180565502403.

30420556508160 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 0 + 5 + 565 + 0 + 81 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30420556508161) 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 255 ways as a sum of consecutive naturals, for example, 10479005269 + ... + 10479008171.

It is an arithmetic number, because the mean of its divisors is an integer number (51068556000).

Almost surely, 2^{30420556508160} is an apocalyptic number.

30420556508160 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 30420556508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71904526848000).

30420556508160 is an abundant number, since it is smaller than the sum of its proper divisors (113388497187840).

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

30420556508160 is a wasteful number, since it uses less digits than its factorization.

30420556508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 30420556508160 in words is "thirty trillion, four hundred twenty billion, five hundred fifty-six million, five hundred eight thousand, one hundred sixty".