66518524512 has 288 divisors, whose sum is σ = 215803695744. Its totient is φ = 20153992320.

The previous prime is 66518524493. The next prime is 66518524529. The reversal of 66518524512 is 21542581566.

66518524512 is a `hidden beast` number, since 6 + 6 + 51 + 85 + 2 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10346643 + ... + 10353069.

It is an arithmetic number, because the mean of its divisors is an integer number (749318388).

Almost surely, 2^66518524512 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 66518524512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107901847872).

66518524512 is an abundant number, since it is smaller than the sum of its proper divisors (149285171232).

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

66518524512 is an equidigital number, since it uses as much as digits as its factorization.

66518524512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6443 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 66518524512 in words is "sixty-six billion, five hundred eighteen million, five hundred twenty-four thousand, five hundred twelve".