660165712128 has 864 divisors, whose sum is σ = 2266671528576. Its totient is φ = 182885548032.

The previous prime is 660165712117. The next prime is 660165712139. The reversal of 660165712128 is 821217561066.

660165712128 is a `hidden beast` number, since 6 + 60 + 1 + 6 + 571 + 2 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (660165712117) and next prime (660165712139).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1262266875 + ... + 1262267397.

Almost surely, 2^660165712128 is an apocalyptic number.

660165712128 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 660165712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133335764288).

660165712128 is an abundant number, since it is smaller than the sum of its proper divisors (1606505816448).

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

660165712128 is a wasteful number, since it uses less digits than its factorization.

660165712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 660165712128 in words is "six hundred sixty billion, one hundred sixty-five million, seven hundred twelve thousand, one hundred twenty-eight".