30026426982048 has 288 divisors, whose sum is σ = 101620141983360. Its totient is φ = 8543377981440.

The previous prime is 30026426982043. The next prime is 30026426982049. The reversal of 30026426982048 is 84028962462003.

30026426982048 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 6 + 426 + 9 + 8 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30026426981985 and 30026426982003.

It is not an unprimeable number, because it can be changed into a prime (30026426982043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11973648 + ... + 14262576.

It is an arithmetic number, because the mean of its divisors is an integer number (352847715220).

Almost surely, 2^{30026426982048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30026426982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50810070991680).

30026426982048 is an abundant number, since it is smaller than the sum of its proper divisors (71593715001312).

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

30026426982048 is a wasteful number, since it uses less digits than its factorization.

30026426982048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289202 (or 2289182 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 30026426982048 in words is "thirty trillion, twenty-six billion, four hundred twenty-six million, nine hundred eighty-two thousand, forty-eight".