66125608200 has 384 divisors, whose sum is σ = 235703664000. Its totient is φ = 17026329600.

The previous prime is 66125608147. The next prime is 66125608217. The reversal of 66125608200 is 280652166.

66125608200 is a `hidden beast` number, since 6 + 6 + 1 + 25 + 608 + 20 + 0 = 666.

It is a Cunningham number, because it is equal to 257149²-1.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27771010 + ... + 27773390.

It is an arithmetic number, because the mean of its divisors is an integer number (613811625).

Almost surely, 2^66125608200 is an apocalyptic number.

66125608200 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 66125608200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117851832000).

66125608200 is an abundant number, since it is smaller than the sum of its proper divisors (169578055800).

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

66125608200 is a wasteful number, since it uses less digits than its factorization.

66125608200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 66125608200 in words is "sixty-six billion, one hundred twenty-five million, six hundred eight thousand, two hundred".