66132461120 has 112 divisors (see below), whose sum is σ = 173864674368. Its totient is φ = 23758325760.

The previous prime is 66132461117. The next prime is 66132461123. The reversal of 66132461120 is 2116423166.

It is an interprime number because it is at equal distance from previous prime (66132461117) and next prime (66132461123).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66132461123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 178982 + ... + 405338.

It is an arithmetic number, because the mean of its divisors is an integer number (1552363164).

Almost surely, 2^66132461120 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 66132461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86932337184).

66132461120 is an abundant number, since it is smaller than the sum of its proper divisors (107732213248).

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

66132461120 is a wasteful number, since it uses less digits than its factorization.

66132461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226468 (or 226458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 66132461120 its reverse (2116423166), we get a palindrome (68248884286).

The spelling of 66132461120 in words is "sixty-six billion, one hundred thirty-two million, four hundred sixty-one thousand, one hundred twenty".