66894488188560 has 960 divisors, whose sum is σ = 245925688320000. Its totient is φ = 16233092997120.

The previous prime is 66894488188519. The next prime is 66894488188603. The reversal of 66894488188560 is 6588188449866.

66894488188560 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 4 + 48 + 8 + 1 + 8 + 8 + 560 = 666.

66894488188560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66894488188560² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66894488188560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39372858591 + ... + 39372860289.

It is an arithmetic number, because the mean of its divisors is an integer number (256172592000).

Almost surely, 2^{66894488188560} is an apocalyptic number.

66894488188560 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 66894488188560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122962844160000).

66894488188560 is an abundant number, since it is smaller than the sum of its proper divisors (179031200131440).

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

66894488188560 is a wasteful number, since it uses less digits than its factorization.

66894488188560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 81.

The spelling of 66894488188560 in words is "sixty-six trillion, eight hundred ninety-four billion, four hundred eighty-eight million, one hundred eighty-eight thousand, five hundred sixty".