66585600000 has 756 divisors, whose sum is σ = 255392064018. Its totient is φ = 16711680000.

The previous prime is 66585599987. The next prime is 66585600019. The reversal of 66585600000 is 658566.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 12702191616 + 53883408384 = 112704^2 + 232128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3916799992 + ... + 3916800008.

Almost surely, 2^66585600000 is an apocalyptic number.

66585600000 is a gapful number since it is divisible by the number (60) 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 66585600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127696032009).

66585600000 is an abundant number, since it is smaller than the sum of its proper divisors (188806464018).

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

66585600000 is an frugal number, since it uses more digits than its factorization.

66585600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 66585600000 in words is "sixty-six billion, five hundred eighty-five million, six hundred thousand".