66583416170208 has 768 divisors, whose sum is σ = 223987610327040. Its totient is φ = 16885774024704.

The previous prime is 66583416170197. The next prime is 66583416170239. The reversal of 66583416170208 is 80207161438566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1859386608 + ... + 1859422416.

It is an arithmetic number, because the mean of its divisors is an integer number (291650534280).

Almost surely, 2^{66583416170208} is an apocalyptic number.

66583416170208 is a gapful number since it is divisible by the number (68) 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 66583416170208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111993805163520).

66583416170208 is an abundant number, since it is smaller than the sum of its proper divisors (157404194156832).

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

66583416170208 is a wasteful number, since it uses less digits than its factorization.

66583416170208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36019 (or 36011 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 66583416170208 in words is "sixty-six trillion, five hundred eighty-three billion, four hundred sixteen million, one hundred seventy thousand, two hundred eight".