66120316200 has 120 divisors (see below), whose sum is σ = 229645710030. Its totient is φ = 17632080000.

The previous prime is 66120316183. The next prime is 66120316219. The reversal of 66120316200 is 261302166.

66120316200 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 0 + 31 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37910426436 + 28209889764 = 194706^2 + 167958^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2024551 + ... + 2056950.

Almost surely, 2^66120316200 is an apocalyptic number.

66120316200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66120316200 is an abundant number, since it is smaller than the sum of its proper divisors (163525393830).

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

66120316200 is a wasteful number, since it uses less digits than its factorization.

66120316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081529 (or 4081511 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 66120316200 its reverse (261302166), we get a palindrome (66381618366).

The spelling of 66120316200 in words is "sixty-six billion, one hundred twenty million, three hundred sixteen thousand, two hundred".