66518305056 has 768 divisors, whose sum is σ = 245248819200. Its totient is φ = 17113420800.

The previous prime is 66518305013. The next prime is 66518305067. The reversal of 66518305056 is 65050381566.

66518305056 is a `hidden beast` number, since 6 + 6 + 518 + 30 + 50 + 56 = 666.

66518305056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 252921181 + ... + 252921443.

It is an arithmetic number, because the mean of its divisors is an integer number (319334400).

Almost surely, 2^66518305056 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 66518305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122624409600).

66518305056 is an abundant number, since it is smaller than the sum of its proper divisors (178730514144).

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

66518305056 is a wasteful number, since it uses less digits than its factorization.

66518305056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 66518305056 in words is "sixty-six billion, five hundred eighteen million, three hundred five thousand, fifty-six".