66059136194688 has 1536 divisors, whose sum is σ = 256834038988800. Its totient is φ = 15798854615040.

The previous prime is 66059136194651. The next prime is 66059136194717. The reversal of 66059136194688 is 88649163195066.

66059136194688 is a `hidden beast` number, since 6 + 60 + 5 + 91 + 3 + 6 + 19 + 468 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13203902395 + ... + 13203907397.

It is an arithmetic number, because the mean of its divisors is an integer number (167209660800).

Almost surely, 2^{66059136194688} is an apocalyptic number.

66059136194688 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 66059136194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128417019494400).

66059136194688 is an abundant number, since it is smaller than the sum of its proper divisors (190774902794112).

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

66059136194688 is a wasteful number, since it uses less digits than its factorization.

66059136194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 66059136194688 in words is "sixty-six trillion, fifty-nine billion, one hundred thirty-six million, one hundred ninety-four thousand, six hundred eighty-eight".