30048278420160 has 2016 divisors, whose sum is σ = 142507202789952. Its totient is φ = 5712067952640.

The previous prime is 30048278420137. The next prime is 30048278420203. The reversal of 30048278420160 is 6102487284003.

It is a happy number.

30048278420160 is a `hidden beast` number, since 3 + 0 + 0 + 48 + 27 + 8 + 420 + 160 = 666.

It is a Cunningham number, because it is equal to 5481631²-1.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2280351492 + ... + 2280364668.

It is an arithmetic number, because the mean of its divisors is an integer number (70688096622).

Almost surely, 2^{30048278420160} is an apocalyptic number.

30048278420160 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 30048278420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71253601394976).

30048278420160 is an abundant number, since it is smaller than the sum of its proper divisors (112458924369792).

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

30048278420160 is a wasteful number, since it uses less digits than its factorization.

30048278420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13351 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 30048278420160 in words is "thirty trillion, forty-eight billion, two hundred seventy-eight million, four hundred twenty thousand, one hundred sixty".