30025448820 has 384 divisors, whose sum is σ = 101657203200. Its totient is φ = 7332249600.

The previous prime is 30025448737. The next prime is 30025448851. The reversal of 30025448820 is 2884452003.

30025448820 is a `hidden beast` number, since 30 + 0 + 2 + 544 + 8 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57630160 + ... + 57630680.

It is an arithmetic number, because the mean of its divisors is an integer number (264732300).

Almost surely, 2^30025448820 is an apocalyptic number.

30025448820 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 30025448820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50828601600).

30025448820 is an abundant number, since it is smaller than the sum of its proper divisors (71631754380).

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

30025448820 is a wasteful number, since it uses less digits than its factorization.

30025448820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 30025448820 in words is "thirty billion, twenty-five million, four hundred forty-eight thousand, eight hundred twenty".