66160548432000 has 2304 divisors, whose sum is σ = 286893550944000. Its totient is φ = 14532452352000.

The previous prime is 66160548431987. The next prime is 66160548432001. The reversal of 66160548432000 is 23484506166.

66160548432000 is a `hidden beast` number, since 6 + 6 + 1 + 60 + 548 + 43 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66160548432001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7614283656 + ... + 7614292344.

It is an arithmetic number, because the mean of its divisors is an integer number (124519770375).

Almost surely, 2^{66160548432000} is an apocalyptic number.

66160548432000 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 66160548432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143446775472000).

66160548432000 is an abundant number, since it is smaller than the sum of its proper divisors (220733002512000).

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

66160548432000 is a wasteful number, since it uses less digits than its factorization.

66160548432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 66160548432000 in words is "sixty-six trillion, one hundred sixty billion, five hundred forty-eight million, four hundred thirty-two thousand".