66188649381120 has 2160 divisors, whose sum is σ = 286588216430208. Its totient is φ = 14531828613120.

The previous prime is 66188649381079. The next prime is 66188649381121. The reversal of 66188649381120 is 2118394688166.

66188649381120 is a `hidden beast` number, since 6 + 6 + 18 + 8 + 6 + 493 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66188649381121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13325676877 + ... + 13325681843.

Almost surely, 2^{66188649381120} is an apocalyptic number.

66188649381120 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 66188649381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294108215104).

66188649381120 is an abundant number, since it is smaller than the sum of its proper divisors (220399567049088).

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

66188649381120 is a wasteful number, since it uses less digits than its factorization.

66188649381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 66188649381120 in words is "sixty-six trillion, one hundred eighty-eight billion, six hundred forty-nine million, three hundred eighty-one thousand, one hundred twenty".