66466589159520 has 576 divisors, whose sum is σ = 249713769037824. Its totient is φ = 15965183324160.

The previous prime is 66466589159413. The next prime is 66466589159543. The reversal of 66466589159520 is 2595198566466.

66466589159520 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 6 + 5 + 8 + 9 + 1 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1555007269 + ... + 1555050011.

It is an arithmetic number, because the mean of its divisors is an integer number (433530849024).

Almost surely, 2^{66466589159520} is an apocalyptic number.

66466589159520 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 66466589159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124856884518912).

66466589159520 is an abundant number, since it is smaller than the sum of its proper divisors (183247179878304).

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

66466589159520 is a wasteful number, since it uses less digits than its factorization.

66466589159520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43675 (or 43664 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 66466589159520 in words is "sixty-six trillion, four hundred sixty-six billion, five hundred eighty-nine million, one hundred fifty-nine thousand, five hundred twenty".