6659001583200 has 216 divisors, whose sum is σ = 23486385712608. Its totient is φ = 1775349488640.

The previous prime is 6659001583151. The next prime is 6659001583207. The reversal of 6659001583200 is 23851009566.

6659001583200 is a `hidden beast` number, since 6 + 6 + 590 + 0 + 1 + 58 + 3 + 2 + 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 not an unprimeable number, because it can be changed into a prime (6659001583207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33979897 + ... + 34175303.

It is an arithmetic number, because the mean of its divisors is an integer number (108733267188).

Almost surely, 2^{6659001583200} is an apocalyptic number.

6659001583200 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 6659001583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743192856304).

6659001583200 is an abundant number, since it is smaller than the sum of its proper divisors (16827384129408).

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

6659001583200 is a wasteful number, since it uses less digits than its factorization.

6659001583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200166 (or 200150 counting only the distinct ones).

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

The spelling of 6659001583200 in words is "six trillion, six hundred fifty-nine billion, one million, five hundred eighty-three thousand, two hundred".