66725123334912 has 720 divisors, whose sum is σ = 229148970462720. Its totient is φ = 18916877500416.

The previous prime is 66725123334833. The next prime is 66725123334923. The reversal of 66725123334912 is 21943332152766.

66725123334912 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 51 + 233 + 349 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15974410968 + ... + 15974415144.

It is an arithmetic number, because the mean of its divisors is an integer number (318262458976).

Almost surely, 2^{66725123334912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66725123334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114574485231360).

66725123334912 is an abundant number, since it is smaller than the sum of its proper divisors (162423847127808).

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

66725123334912 is a wasteful number, since it uses less digits than its factorization.

66725123334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5015 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 66725123334912 in words is "sixty-six trillion, seven hundred twenty-five billion, one hundred twenty-three million, three hundred thirty-four thousand, nine hundred twelve".