66058489224000 has 4480 divisors, whose sum is σ = 312589386869760. Its totient is φ = 13401096192000.

The previous prime is 66058489223983. The next prime is 66058489224001. The reversal of 66058489224000 is 42298485066.

66058489224000 is a `hidden beast` number, since 6 + 60 + 5 + 84 + 89 + 22 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66058489224001) 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 639 ways as a sum of consecutive naturals, for example, 215174231847 + ... + 215174232153.

It is an arithmetic number, because the mean of its divisors is an integer number (69774416712).

Almost surely, 2^{66058489224000} is an apocalyptic number.

66058489224000 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 66058489224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156294693434880).

66058489224000 is an abundant number, since it is smaller than the sum of its proper divisors (246530897645760).

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

66058489224000 is a wasteful number, since it uses less digits than its factorization.

66058489224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 66058489224000 in words is "sixty-six trillion, fifty-eight billion, four hundred eighty-nine million, two hundred twenty-four thousand".