66133024244100 has 288 divisors, whose sum is σ = 231947423164800. Its totient is φ = 16031264601600.

The previous prime is 66133024244081. The next prime is 66133024244107. The reversal of 66133024244100 is 144242033166.

66133024244100 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 302 + 4 + 244 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66133024244107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 561776046 + ... + 561893754.

It is an arithmetic number, because the mean of its divisors is an integer number (805372997100).

Almost surely, 2^{66133024244100} is an apocalyptic number.

66133024244100 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 66133024244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115973711582400).

66133024244100 is an abundant number, since it is smaller than the sum of its proper divisors (165814398920700).

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

66133024244100 is a wasteful number, since it uses less digits than its factorization.

66133024244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136660 (or 136647 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 66133024244100 its reverse (144242033166), we get a palindrome (66277266277266).

The spelling of 66133024244100 in words is "sixty-six trillion, one hundred thirty-three billion, twenty-four million, two hundred forty-four thousand, one hundred".