66087221382 has 192 divisors, whose sum is σ = 183149750784. Its totient is φ = 17392423680.

The previous prime is 66087221377. The next prime is 66087221383. The reversal of 66087221382 is 28312278066.

66087221382 is a `hidden beast` number, since 6 + 608 + 7 + 2 + 2 + 1 + 38 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66087221383) 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 95 ways as a sum of consecutive naturals, for example, 25251738 + ... + 25254354.

It is an arithmetic number, because the mean of its divisors is an integer number (953904952).

Almost surely, 2^66087221382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66087221382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91574875392).

66087221382 is an abundant number, since it is smaller than the sum of its proper divisors (117062529402).

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

66087221382 is a wasteful number, since it uses less digits than its factorization.

66087221382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 66087221382 in words is "sixty-six billion, eighty-seven million, two hundred twenty-one thousand, three hundred eighty-two".