66102543978912 has 1152 divisors, whose sum is σ = 247905170472960. Its totient is φ = 16248012963840.

The previous prime is 66102543978899. The next prime is 66102543978917. The reversal of 66102543978912 is 21987934520166.

66102543978912 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 2 + 543 + 9 + 7 + 89 + 1 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66102543978912.

It is not an unprimeable number, because it can be changed into a prime (66102543978917) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7004609458 + ... + 7004618894.

It is an arithmetic number, because the mean of its divisors is an integer number (215195460480).

It is a 1-persistent number, because it is pandigital, but 2⋅66102543978912 = 132205087957824 is not.

Almost surely, 2^{66102543978912} is an apocalyptic number.

66102543978912 is a gapful number since it is divisible by the number (62) 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 66102543978912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123952585236480).

66102543978912 is an abundant number, since it is smaller than the sum of its proper divisors (181802626494048).

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

66102543978912 is a wasteful number, since it uses less digits than its factorization.

66102543978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 66102543978912 in words is "sixty-six trillion, one hundred two billion, five hundred forty-three million, nine hundred seventy-eight thousand, nine hundred twelve".