66106411200 has 672 divisors, whose sum is σ = 259703417600. Its totient is φ = 16303472640.

The previous prime is 66106411153. The next prime is 66106411229. The reversal of 66106411200 is 211460166.

66106411200 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 641 + 12 + 0 + 0 = 666.

66106411200 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 (27).

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, 35293464 + ... + 35295336.

Almost surely, 2^66106411200 is an apocalyptic number.

66106411200 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 66106411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129851708800).

66106411200 is an abundant number, since it is smaller than the sum of its proper divisors (193597006400).

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

66106411200 is a wasteful number, since it uses less digits than its factorization.

66106411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 66106411200 its reverse (211460166), we get a palindrome (66317871366).

The spelling of 66106411200 in words is "sixty-six billion, one hundred six million, four hundred eleven thousand, two hundred".