66057259384608 has 48 divisors (see below), whose sum is σ = 173400724256256. Its totient is φ = 22019033335040.

The previous prime is 66057259384583. The next prime is 66057259384609. The reversal of 66057259384608 is 80648395275066.

66057259384608 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66057259384609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76264810 + ... + 77126102.

It is an arithmetic number, because the mean of its divisors is an integer number (3612515088672).

Almost surely, 2^{66057259384608} is an apocalyptic number.

It is an amenable number.

66057259384608 is an abundant number, since it is smaller than the sum of its proper divisors (107343464871648).

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

66057259384608 is a wasteful number, since it uses less digits than its factorization.

66057259384608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660217 (or 1660209 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 66057259384608 in words is "sixty-six trillion, fifty-seven billion, two hundred fifty-nine million, three hundred eighty-four thousand, six hundred eight".