66168512280 has 256 divisors, whose sum is σ = 237758976000. Its totient is φ = 16271801856.

The previous prime is 66168512279. The next prime is 66168512287. The reversal of 66168512280 is 8221586166.

66168512280 is a `hidden beast` number, since 6 + 616 + 8 + 5 + 1 + 2 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66168512287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21886849 + ... + 21889871.

It is an arithmetic number, because the mean of its divisors is an integer number (928746000).

Almost surely, 2^66168512280 is an apocalyptic number.

66168512280 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 66168512280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488000).

66168512280 is an abundant number, since it is smaller than the sum of its proper divisors (171590463720).

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

66168512280 is a wasteful number, since it uses less digits than its factorization.

66168512280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 66168512280 in words is "sixty-six billion, one hundred sixty-eight million, five hundred twelve thousand, two hundred eighty".