30082825920 has 448 divisors, whose sum is σ = 111395865600. Its totient is φ = 6736773120.

The previous prime is 30082825907. The next prime is 30082825921. The reversal of 30082825920 is 2952828003.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (30082825921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107056180 + ... + 107056460.

Almost surely, 2^30082825920 is an apocalyptic number.

30082825920 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 30082825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55697932800).

30082825920 is an abundant number, since it is smaller than the sum of its proper divisors (81313039680).

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

30082825920 is a wasteful number, since it uses less digits than its factorization.

30082825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 30082825920 in words is "thirty billion, eighty-two million, eight hundred twenty-five thousand, nine hundred twenty".