30020256364320 has 288 divisors, whose sum is σ = 104210931464640. Its totient is φ = 7867415623680.

The previous prime is 30020256364297. The next prime is 30020256364339. The reversal of 30020256364320 is 2346365202003.

30020256364320 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 0 + 2 + 5 + 6 + 3 + 643 + 2 + 0 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300793467 + ... + 300893253.

It is an arithmetic number, because the mean of its divisors is an integer number (361843512030).

Almost surely, 2^{30020256364320} is an apocalyptic number.

30020256364320 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 30020256364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52105465732320).

30020256364320 is an abundant number, since it is smaller than the sum of its proper divisors (74190675100320).

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

30020256364320 is a wasteful number, since it uses less digits than its factorization.

30020256364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103408 (or 103397 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 30020256364320 in words is "thirty trillion, twenty billion, two hundred fifty-six million, three hundred sixty-four thousand, three hundred twenty".