66500323505000 has 640 divisors, whose sum is σ = 198467470080000. Its totient is φ = 20280274560000.

The previous prime is 66500323504999. The next prime is 66500323505027. The reversal of 66500323505000 is 50532300566.

66500323505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 159 ways as a sum of consecutive naturals, for example, 7733490701 + ... + 7733499299.

It is an arithmetic number, because the mean of its divisors is an integer number (310105422000).

Almost surely, 2^{66500323505000} 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 66500323505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99233735040000).

66500323505000 is an abundant number, since it is smaller than the sum of its proper divisors (131967146575000).

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

66500323505000 is a wasteful number, since it uses less digits than its factorization.

66500323505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075 (or 9056 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 66500323505000 its reverse (50532300566), we get a palindrome (66550855805566).

The spelling of 66500323505000 in words is "sixty-six trillion, five hundred billion, three hundred twenty-three million, five hundred five thousand".