30661325003200 has 168 divisors, whose sum is σ = 77475201269760. Its totient is φ = 11936129433600.

The previous prime is 30661325003173. The next prime is 30661325003201. The reversal of 30661325003200 is 230052316603.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30661325003201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26259009 + ... + 27401791.

It is an arithmetic number, because the mean of its divisors is an integer number (461161912320).

Almost surely, 2^{30661325003200} 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 30661325003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38737600634880).

30661325003200 is an abundant number, since it is smaller than the sum of its proper divisors (46813876266560).

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

30661325003200 is a wasteful number, since it uses less digits than its factorization.

30661325003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143255 (or 1143240 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 30661325003200 its reverse (230052316603), we get a palindrome (30891377319803).

The spelling of 30661325003200 in words is "thirty trillion, six hundred sixty-one billion, three hundred twenty-five million, three thousand, two hundred".