66180126600 has 576 divisors, whose sum is σ = 269082777600. Its totient is φ = 14801460480.

The previous prime is 66180126569. The next prime is 66180126611. The reversal of 66180126600 is 662108166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15987331 + ... + 15991469.

It is an arithmetic number, because the mean of its divisors is an integer number (467157600).

Almost surely, 2^66180126600 is an apocalyptic number.

66180126600 is a gapful number since it is divisible by the number (60) 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 66180126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134541388800).

66180126600 is an abundant number, since it is smaller than the sum of its proper divisors (202902651000).

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

66180126600 is a wasteful number, since it uses less digits than its factorization.

66180126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 66180126600 in words is "sixty-six billion, one hundred eighty million, one hundred twenty-six thousand, six hundred".