30664500132200 has 192 divisors, whose sum is σ = 78618225611520. Its totient is φ = 11030226560000.

The previous prime is 30664500132181. The next prime is 30664500132221. The reversal of 30664500132200 is 223100546603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245024042 + ... + 245149158.

It is an arithmetic number, because the mean of its divisors is an integer number (409469925060).

Almost surely, 2^{30664500132200} 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 30664500132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309112805760).

30664500132200 is an abundant number, since it is smaller than the sum of its proper divisors (47953725479320).

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

30664500132200 is a wasteful number, since it uses less digits than its factorization.

30664500132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126348 (or 126339 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 30664500132200 its reverse (223100546603), we get a palindrome (30887600678803).

The spelling of 30664500132200 in words is "thirty trillion, six hundred sixty-four billion, five hundred million, one hundred thirty-two thousand, two hundred".