30325661488800 has 1728 divisors, whose sum is σ = 115637270740992. Its totient is φ = 7464683520000.

The previous prime is 30325661488783. The next prime is 30325661488841. The reversal of 30325661488800 is 888416652303.

30325661488800 is a `hidden beast` number, since 3 + 0 + 3 + 25 + 6 + 61 + 488 + 80 + 0 = 666.

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, 130153053484 + ... + 130153053716.

It is an arithmetic number, because the mean of its divisors is an integer number (66919716864).

Almost surely, 2^{30325661488800} is an apocalyptic number.

30325661488800 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 30325661488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57818635370496).

30325661488800 is an abundant number, since it is smaller than the sum of its proper divisors (85311609252192).

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

30325661488800 is a wasteful number, since it uses less digits than its factorization.

30325661488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 30325661488800 in words is "thirty trillion, three hundred twenty-five billion, six hundred sixty-one million, four hundred eighty-eight thousand, eight hundred".