66160058688 has 672 divisors, whose sum is σ = 218699120640. Its totient is φ = 19752284160.

The previous prime is 66160058687. The next prime is 66160058719. The reversal of 66160058688 is 88685006166.

It is a happy number.

It is a super-3 number, since 3×66160058688³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66160058687) by changing a digit.

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, 520945281 + ... + 520945407.

It is an arithmetic number, because the mean of its divisors is an integer number (325445120).

Almost surely, 2^66160058688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66160058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109349560320).

66160058688 is an abundant number, since it is smaller than the sum of its proper divisors (152539061952).

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

66160058688 is a wasteful number, since it uses less digits than its factorization.

66160058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 66160058688 in words is "sixty-six billion, one hundred sixty million, fifty-eight thousand, six hundred eighty-eight".