66585906000 has 480 divisors, whose sum is σ = 247907132928. Its totient is φ = 16598937600.

The previous prime is 66585905987. The next prime is 66585906053. The reversal of 66585906000 is 60958566.

66585906000 is a `hidden beast` number, since 6 + 6 + 58 + 590 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51101349 + ... + 51102651.

Almost surely, 2^66585906000 is an apocalyptic number.

66585906000 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 66585906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123953566464).

66585906000 is an abundant number, since it is smaller than the sum of its proper divisors (181321226928).

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

66585906000 is a wasteful number, since it uses less digits than its factorization.

66585906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 66585906000 in words is "sixty-six billion, five hundred eighty-five million, nine hundred six thousand".