30825681332208 has 480 divisors, whose sum is σ = 96818917478400. Its totient is φ = 8438997450240.

The previous prime is 30825681332153. The next prime is 30825681332263. The reversal of 30825681332208 is 80223318652803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30825681332153) and next prime (30825681332263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5414661010 + ... + 5414666702.

It is an arithmetic number, because the mean of its divisors is an integer number (201706078080).

Almost surely, 2^{30825681332208} 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 30825681332208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409458739200).

30825681332208 is an abundant number, since it is smaller than the sum of its proper divisors (65993236146192).

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

30825681332208 is a wasteful number, since it uses less digits than its factorization.

30825681332208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 30825681332208 in words is "thirty trillion, eight hundred twenty-five billion, six hundred eighty-one million, three hundred thirty-two thousand, two hundred eight".