66053020176 has 480 divisors, whose sum is σ = 223845672960. Its totient is φ = 17916595200.

The previous prime is 66053020171. The next prime is 66053020213. The reversal of 66053020176 is 67102035066.

66053020176 is a `hidden beast` number, since 6 + 605 + 30 + 2 + 0 + 17 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66053020176.

It is not an unprimeable number, because it can be changed into a prime (66053020171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134527291 + ... + 134527781.

It is an arithmetic number, because the mean of its divisors is an integer number (466345152).

Almost surely, 2^66053020176 is an apocalyptic number.

66053020176 is a gapful number since it is divisible by the number (66) 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 66053020176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111922836480).

66053020176 is an abundant number, since it is smaller than the sum of its proper divisors (157792652784).

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

66053020176 is a wasteful number, since it uses less digits than its factorization.

66053020176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 66053020176 in words is "sixty-six billion, fifty-three million, twenty thousand, one hundred seventy-six".